Then an i5 would be preferable, however from my knowledge most MMO's and RTS's only use a single cpu core, so a higher model i3 would do the job just as well. i3's have the extra oomph with their hyperthreading too, so the games that are capable of 4 threads will use them.
Perhaps an i3 4360 or an i5 4590, either would serve you well with a H97 MoBo.
Tell me if I'm barking up the wrong tree, I get the impression you'd rather not spend copious amounts on this. If you have cash to splash, go Z97 and i5 4690K all the way.
Does that mean that processor with very high single CPU core speed will be the best?
4690K isn't that good? I'm looking for something that can provide ~50-60fps on max, on 1920.
EDIT: Tomb Raider on everything max runs on 35fps on average, in the very beginning.. Doh...