A lot of us run 705's. It'll do everything from dirt to gravel to 18 hours of tarmac on them and they're great.
If you're wanting to stick to street, I'm sure some riders will chime in, but I can't help. I've used Pirelli Angel's to good effect but I've used 705's for a long time since then.
One of the main considerations with tires is this: do you want to retain the stock SIZES or do you want to play around with them a bit? You can put a tire on the front that gives you the same rolling radius as a 19" tire. I'm not saying it's like putting on a spoked 19" wheel... but you can feel the difference. Same with the rear... some use a larger rear and together with the front it gives a bit more clearance. It also looks killer
For example, the stock 120/70 front gives you a tire diameter of 23.62". A 130/80 will increase that to 25.2" and a 120/90 will take you to 26.26". You will have to raise the front fender to make room. Easy to do.
For the rear, you can go with a 150/70 and a 170/60.
I agree with
@Axel Johansson ... lots of opinions, lots of options... riding goals will be the main factor.