Rosencratz makes a very good point. The long and short is that the UK has no industry to support anime production (and barely one to support distribution). There have been many UK born artists who have gone to US/AUS/JAP to draw and voice act and have had varying successes.
If I can be bold, why isn't Japan an option for you? The US is definately an option but a lot of their influence is to 'reheat' manga and anime that comes from Japan so your work will be steady but nothing radical, althought as an aside the US has their own brand of anime inspired comic such as Empowered (mature graphic content warning) so there may be a possibility of running a parallel to manga to begin with.
As for courses there aren't any specific courses that will get you through the door. Art and Media Studies may help to expose the industry or inspire a talent, but what is sought is you. A portfolio of work, especially accredited work (for art you may need to consult your teacher as to how to go about this) is what graphics and animation studios want to see.
To set a personal fortfolio simply spend time doing what you do and maybe consider posting on sights like photobucket or better stil deviantart.com
As for games design the US is a strong candidate although there are a number of smaller UK companies whould will be looking a portfolio. This is a strong option for A&D so might be a good idea to follow this route. Here are a few companies you may want to contact to see if they are hiring and to question about what they expect from future artists.
You should check with these and other companies
Lionhead Studios (Black and White)
Team 17 (Worms)
Rockstar London (GTA)
NIS America (Disgaea)
As for anime companies you may want to contact
Manga
Funimation
Viz Media
and for Manga
Viz Media
Kodansha comics (This is a Japan based company that distributes world wide. They currently publish Battle Angel Alita)
Dark Horse Publishing
P.s If you don't mind using Twitter then a tweet to
https://twitter.com/DanielSimonCom might be an idea of what can be achieved
I have a book from this man full of the works that got him into hollywood (check Cosmic Motors).