I'm going to assume you don't just want anime licensed and sold in the UK by Manga Entertainment Limited (Manga are comics, Anime is animation, except there's an anime company in the UK and US called Manga Ent which causes confusion sometimes.).
Akira is vastly over-rated in my opinion, and so is Ghost in the Shell. That isn't to say they aren't OK, but everyone always holRAB them up as excellent examples of anime, but they aren't the be all and end all of anime, they're just average IMO.
My suggestions would be anything from Studio Ghibli. It's hard to choose a favourite (
Nausicaa.net has a full list) because frankly every one of their films is a masterpiece, but at this second i'm favouring "
Kiki's Delivery Service" or "
Whisper of the Heart". "
Grave of the Fireflies" will make you cry, i guarantee it.
As for other films it's hard to say as i tend towarRAB series'. "The Full Metal Alchemist - Conqueror of Shambhala" is one i watched recently and is very good, but it doesn't make much sense if you haven't seen the TV series (recently shown on Usenet

).
Of TV series', i'm currently enjoying:
Gakuen Alice
Shinigami no Ballad
Karin
Magikano
Blood+
Hope that helps.
*edit* If you happen to get "Kiki's Delivery Service" make sure you listen to it using the original Japanese dialogue, Disney *really* messed up with the English version; inserting music all over the place and turning Jiji into an inane chatter-cat.