I saw clips of Akira on TV ages ago on some sort of 100 best films programs and wanted to watch it (but didn't at the time) so I picked TV however that is not what got me hooked into anime. I came across AMV's online when I started uni and was hooked on them which made me start hunting out the anime they were made from and I got hooked on them.
I got re-hooked on Pokémon (the games and the anime) in an awesome nostalgia-filled six months to a year of getting up-to-date with the franchise with some friends... which lead me to Naruto, eventually. Somehow. Bleach was also thrown around a lot in the same sentence, so I watched that, I think, maybe before catching up with Naruto... Dunno. Around that time, though.
Also, I remember Akira and Legend of the Overfiend being on the Channel 4's best cartoons ever list. Or something.
"Friends in school talking about DBZ. "What, that stupid show with the little kids fighting [note: Gohan and Krillin were currently "fighting" Frieza]?" was my initial reaction, but after finding out the intricacies of the storyline surrounding Cell and Future Trunks I realized it was The Awesomest Thing Ever."
But I voted TV, as my friends didn't get me into anime as much as they got me into DBZ. I then got some of them into anime in general a little later.
I'll never forget how I was introduced to anime. this annoying kid in my school was reading a magazinbe about computer games, and on the back page there was a full-page feature on the cinema release of Akira. It hadn't even had a VHS release at that point.
Well, time passed (about a year, I think) and I eventually found the VHS in my local Woolworth's. Being JUST old enough to watch it, I grabbed it and whisked it back home. I think I wore that video out, I watched it so many times.
This would all have been about 1990-1992, and in the following months I bought a few of the Manga Entertainment videos that came out - Dominion Tank Police and Battle Angel Alita being ones that stick in my mind.
However, a lot of those early releases were frankly a bit sucky, so I fell out of love with anime for a long while. I've always been aware of it, though, and just in the last year I re-discovered it online, and have been buying up stuff left, right and centre.