Best everyday road tire i have found so far, with great tread, hardened middle, and year round ready is the Pilot Road 4 by michilen. Ive owned the pilot power 2,3 and the battleaxe by bridgestone. all great tires but only last 5k miles or so, depending on psi in the tire and roads. the Road 4's are 8-10k mileage

 

The Pilot Road series are quite good as jaxzx6r said. I opted for the Pilot Road 2CT on my old bike and am currently on Bridgestone T30, another dual compound sport/sport-touring tire. They've given me great mileage so far and are about to hit a trackday tomorrow! I've liked both tires and I think are both reasonably budget friendly. I think there's a rebate on Bridgestones or something posted somewhere on the forum. Might want to take advantage of that.

 

Angel GT is another good one. Lil cheaper than the pilot 4 and lacking its wet weather advantages, but I generally take the truck of my phone says it's gonna rain. Javent tried them myself yet though. Im on pilots.

 

I like my Avon Storm 3D XM......good street tire. Long life.

 

I'll second the pilot road 4's for street use.
Only 1k-1500 miles on them so far, but for everyday daily driver/mountain road fun they have not slipped on me yet.
They also feel composed in the rain like I was lead to believe.

Also the tread pattern just looks great

 

i got the pilot pilot 3 right now.. I love them. Great and sticky in he canyons. But at 4K miles i already have to replace them. Just ordered the Pilot Road 4 since im going to be commuting more on my bike. Hoping they are as god and last as long as everyone says.

 

I'm running Dunlop Q3's right now and love them! Wear appears better than the stock S20R's so far but only have about 3k miles on them so far. Probably not the best wearing tires out there but very good for the price.

 

I'm on Pirelli Angel GT,second set.Excellent all round road tyre.I've run them at standard pressures,perfect.As in,2.5/36 front,2.8/41 rear,lovely steering,great water clearance.Dropped pressures to 2.3/33 front,2.5/36 rear,and as much grip as anyone needs on the road,and if it buckets down you will be amazed at the grip.I remember a quote from the late Steve Hislop,at a trackday,passing everyone with ease on sport touring tyres-"I wouldn't need too much tyre on a trackday".
Pirelli employee recommended 34 front 38 rear for sports bikes.
Keep having fun on your ZX6R,mine is 14 years old now and going strong!.
P.s-these tyres last about three times as long as the Diablo Rosso 2,another great tyre,but if you are budget conscious.........