I am not very up on current programmes, but I have various oldie recommendations that you should be able to watch on Netflix or Hulu.
I would recommend Mad Men, Veronica Mars, Call the Midwife, The X Files, Battlestar Galactica, Firefly, Buffy, Angel, Deadwood. I have heard good things about Breaking Bad and Castle.
Spooks was good - that is on Netflix as MI-5 in the US.
Crime: Foyle's War is probably fairly inoffensive. The Fall is going to be on Netflix in the US from the end of May. The Fall had graphic sexual violence in the first episode though - it remains to be seen whether the rest of it will be like that.
For comedy, I like Arrested Development, Frasier, Spaced, Peep Show and Rev (the last three are British but are def. on Hulu, poss on Netflix too). The Daily Show can be OK but is hit and miss and is very male dominated. I have seen a bit of Raising Hope and I liked that.
Doctor Who these days sets my feminist radar off unfortunately.
I would say head over to Netflix and get stuck in. It is better value than US broadcast TV imo.