Whether you can own a UK company with a foreign address I don't know.
I do know many virtual offices can be your registered address. These tend to be companies that receive your mail/phone calls and forward them on to you or let you rent desks or offices for meetings in town/city centres.
As an individual you can't get a UK bank account unless you can prove you have a UK physical address. Maybe there is a way round but I doubt the restrictions are any less rigorous for businesses.
I do know many virtual offices can be your registered address. These tend to be companies that receive your mail/phone calls and forward them on to you or let you rent desks or offices for meetings in town/city centres.
For example: http://www.westone-business.com/ or http://www.mwbex.com/page/business-address
NB: Those companies are just some of the first in Google search results, do your own research first I recommend.
Whether they will do it for a EU citizen I do not know. But that should at least give you a hint of where to start looking.