have you tried reading? i never thought of it till we were given a couple of books when DS was 2 months old. He loves them! He now has a little library of his own and some favourites. Try board books with lift the flap (some have mirrors in them which he loves), or touchy feely ones with different textures.
I went for mum and baby yoga, and we still do some of the rhymes / moves that i learnt there. would def recommend going for something similar just to learn baby rhymes / action songs to keep her entertained.
My DS isn't allowed tv, but if he was allowed his way, would happily watch it for a while. (depends on your views on tv, and whether you think children's tv is good for their development)