Well, technically, only one of those four had any of our tax money...

Barclays/Barclaycard got their recent funding from outside the UK, in the Middle East (possibly a sensible move, as they have a lot of non-UK operations, which the UK government probably has very little interest in funding...).

Egg's owned by Citibank, who didn't take any government funding.

Mint, on the other hand, is (I think) owned by RBS, so has indeed been funded by tax money...