"As Time Goes By" is an interesting, memorable film that I think any fan of Science Fiction would enjoy. I saw it in the late '80s at the Mill Valley Film Festival and I made a point to remember the name, because I suspected that this film might not get the publicity it deserved, and would become hard to find.
Aside from the S.F. elements, I would classify this as a mysterydrama with comedic touches. It's a low budget film and the director knows it, using this to keep the tone light and also to focus the audience on the characters and their story.
I especially like the way the filmmaker plays with the time travel element, showing me a trick or two I have never seen before. The alien is weird, wise and funny and even though I have read my fair share of S.F. I haven't encountered another one like him. Sure, the film isn't perfect, but it was easy to ignore the flaws because I like the spirit and intelligence of the people who made it.
I hope this gets released on DVD so I can buy it. "As Time Goes By" stands on my list as one of the top ten films of 1988.
Review by happywheels from the Internet Movie Database.