BBC1 - Rockwell - I think it reflects BBC soaps, the news and the other programming
BBC2 - Ubuntu - I actually thought BBC2 neeed a change in logo, and it's pretty relaxed like most of the lifestyle programming it has
BBC3 - Lithos Pro - This font looked "fun" and lots of BBC3 programming is fun (American Dad, Family Guy, etc.)
BBC4 - Engravers MT - History is also in fonts. Engravers MT looks historic so that's why I used it.
Now, obviously the DOG, idents and the ECP, they will look right. I reckon these will fit nicely with the promotions and online. They will look smaller.
BBC1 - How does it reflect BBC Soaps and the News it just looks odd and blocky.
BBC2 - Again How does it reflect the programming and also up until now you've basically said that using Gill Sans MT is good (although you've constantly used it in the wrong weight). BBC Two's primetime schedule is supposedly more serious than BBC One so why would they need a more relaxed font.
BBC 3 - Again your reasoning is flawed and illogical.
BBC 4 - It is a common misconception but BBC Four isn't a history channel but a more arty, high brow, cultural channel.
And that's just your reasoning. When doing something like this you need to do an entire package like Mdtauk, it would look weird with these logos lined up next to the BBC News Channels logo and other BBC logos. Your also saying that online it will be smaller - the BBC blocks will be invisible and tiny. This is the kind of thing I expect out of Microsoft Paint not PAINT.net.