ALF season 1 has 25 episodes plus the bonus pilot going on the TVD. Lists may be different depending on if they follow production or airing order, and sometimes the double-length episode is divided and counted as 2. My list here is what you will get on the TVD, and my comments will be geared towards the syndicated versions rather than the original versions since that's what's on the market.
Unaired Pilot
It fills in some of the time lost at the beginning of the syndicated, aired pilot. I don't know why 2 pilots were shot (some history on that would have been nice to have on the TVD). It's very similar to the aired version although there are a few notable differences (like a different actor in the bit part at the end). I actually think some of the jokes in this version are better than the aired one.
1) ALF Pilot
This one is the standard pilot and the syndicated version which has been noticeably cut at the beginning to make less sense than the original. ALF crashes into the Tanners' roof, and they have to decide to help him or turn him in.
2) On The Road Again
The Tanners want to take a vacation but are not willing to leave ALF home alone that long. They decide to all go camping and end up stuck in the RV because of rain. ALF and Willie get into a fuss resulting in ALF's attempting to walk home. He ends up held at gunpoint by hunters, and only Willie can save him if he can put aside his anger.
3) Pennsylvania 6-5000
ALF is concerned by Earth's nuclear weapons. He calls the President to declare his opposition. It doesn't go well, and Willie is arrested as a threat to national security. ALF wants to find a way to get him out as well as still get his message to the President.
-I believe Harry Shearer is the voice of the President who, while never named, sounds like Reagan.
4) Strangers In The Night
Everyone but Brian has to go out for the night, and they don't trust ALF to baby-sit so they ask Raquel Ochmonek. She sits in the living room watching Psycho and eating popcorn, exactly what ALF wants to be doing. As he gets more and more restless, Raquel wonders what in the world is going on in the house. Before the end of the night they will both get a surprise.
5) For Your Eyes Only
ALF makes a friend by calling a radio talk show. The best part is that his friend is blind and can't see he is an alien. He gets Lynn to help him plan a visit to see her. Lynn's parents can't find out.
6) Looking For Lucky
Lucky is missing when the Tanners return from a trip. When ALF coughs up a hairball the obvious conclusion is that he ate the cat. To prove his innocence, ALF risks exposure by going out to find the lost pet.
7) It's Not Easy Being Green
Brian is nervous about being in a school play. His partner is mean and shatters his confidence. ALF encourages him by giving him a Melmacian good-luck charm. Brian leaves it at home accidentally and is afraid to go onstage. Back at home ALF tries desperately to find a way to get the trinket to the school.
8) Keepin' The Faith
ALF is upset that the family thinks of him as a parasite when they try to crack down on utility usage so he gets a job selling mail-order cosmetics. Willie and Kate are nervous about such an ordeal particularly when they find out they have to entertain a bunch of strangers at their house.
9) Jump
Willie hits a mid-life crisis feeling like he hasn't accomplished anything which is represented by a skydive he never completed. ALF helps him work up the determination to jump out of that plane and prove he is not always predictable and safe.
-Joe Namath has a cameo.
10) Help Me Rhonda
ALF becomes particularly homesick thinking of his lost love Rhonda. In an effort to help, Willie manages to contact Skip who escaped Melmac's destruction with none other than ALF's flame. Skip plans a fly-by pick-up forcing ALF to choose between him and the Tanners.
11) Don't It Make My Brown Eyes Blue
ALF has developed a little crush on Lynn and is jealous of her new potential boyfriend. He decides to write her a song and even records his own music video (shown in its entirety with hints of ZZ Top, Stevie Wonder, Rick Springfield, and others).
12) Oh Tannerbaum
It's Christmas at the Tanner household, and ALF has destroyed the tree. Willie goes to get another one but ends up having to settle for a plastic tree. Nobody is particularly happy with it so he and Alf go to the forest to cut their own. When the car gets stuck, though, they risk killing each other more than freezing to death before help shows up.
13) Baby You Can Drive My Car
The car breaks down when Lynn really needs it so the family talks about her getting her own. Her parents are willing to help but it will still entail her getting a job. ALF is disgusted at the thought of her having to work so hard along with school so when he find out how valuable the gold in his ship is, he hawks it for enough to buy Lynn a Ferrari. Willie doesn't feel right about this deal, but before he can do anything, ALF takes a drive on the freeway.
14) Mother And Child Reunion
Kate's mother shows up unexpectedly, and the problems begin immediately. Willie and Dot get along great but not so with mother and daughter. Dot is overbearing, and Kate is sick of it. ALF reveals himself to Dot in an effort to force the two women to work out their problems.
15) Little Bit Of Soap
In a sequel to “Mother And Child Reunion” Dot is still staying with the Tanners, and ALF can't wait to be rid of her. There are deep issues keeping her anchored at the house. Frustrated, ALF finds an outlet writing soap opera scripts. The thing is, he's mimicking his home life which reveals some things that deeply hurt the family. This may be the worst thing he's ever done and trying to fix it only makes it worse. The ending is one of if not the most touching of any episode.
16) Boarder Song
Willie tries to help a lost Mexican boy get back to his family but ends up having to bring him home for the night. The boy stumbles across ALF and they become friends since they connect as strangers in an unfamiliar place. Willie keeps up the search for the boy's father only to discover a dark little secret.
17) I've Got A New Attitude
Continuing the story from “Mother And Child Reunion” and “A Little Bit of Soap” Dot is moving into a new place of her own. She meets Whizzer who sets his eyes on her pretty quickly, but she is not ready to let go of her deceased husband. Everyone, including ALF, is trying to get her to get on with her life, but only ALF's conniving stands a chance of getting through.
18) Wild Thing
ALF hits a phase where he goes insane. He warns the Tanners that it's coming and has them build a cage for him. In his insanity he tricks Brian into letting him out, and it becomes a mad race to find him in the middle of the night before he does something terrible.
19) Going Out Of My Head Over You
ALF is driving Willie so insane that he seeks help from a psychologist friend of the family. Larry comes to meet ALF and help him and Willie resolve their issues.
20) Weird Science
ALF tells Brian that the solar system has 2 planets of which humans aren't aware so Brian includes them on his science project. The teacher gets upset about it making Brian mad at ALF. In retaliation ALF confronts the teacher pretending he's Willie which results in the principal confronting Willie at home. Brian just wants his project included in the science fair.
21) Lookin' Through The Windows
The classic tale of watching a neighbor and thinking he murdered his wife, ALF turns to watching the Ochmoneks fight (using Willie's opera glasses) and sees what he thinks is Trevor killing and burying Raquel. He decides to break into their house to find evidence, and it's up to Willie to rescue him. Who will rescue Willie, though?
22) The Gambler
ALF discovers horse racing and incurs enormous debt. With the threat of Nick the Fish coming to break his legs, ALF desperately tries to turn a garage sale into a fortune maker.
23) Try To Remember
ALF bumps his head and loses his memory. He thinks he's an insurance salesman being held hostage by the Tanners. They try everything they can to remind him of who he really is (resulting in flashbacks of previous episodes, though one of them is from “La Cucaracha” which we haven't seen yet). The pressure is on when he calls the police to come rescue him.
-This is a double-length episode.
24) Come Fly With Me
The Ochmoneks talk the Tanners into going on a weekend retreat with them. Trevor, a pilot in the military, flies them there in a borrowed cargo plane. ALF stows away making the vacation anything but relaxing especially when he burns down the hotel room. If that wasn't enough, Trevor passes out on the way home landing ALF in the pilot's chair.
25) La Cucaracha
A Melmacian cockroach runs out of ALF's ship. Willie is fascinated by it, but Kate wants it dead. Problem is spraying it with poison makes it grow huge. It runs the Tanners out of their house leaving it up to Willie and ALF to battle it without using bugspray (and you can't step on a 4 foot roach).