Wednesday,
There is a specific BBC America channel available in many areas on digital cable. Otherwise, PBS still shows some drama and comedy. A&E also shows some drama and occasional BBC comedy. I watched a BBC production of Charles II a few months back and the series MI5 (Spooks, I think in the UK) on A&E. TLC and the Discovery channel show some programs co-produced with the BBC or the UK's channel 4. Junkyard Wars and Trading Spaces were originally UK programs but the ones you see here are produced in the US. Look-out for some cross-overs.
I hear that UK's Graham Norton has a show on Comedy Central, I haven't seen his show yet and if I don't hurry up it may be axed before I do.
3rd