Shinkos are cheap, very grippy esp. in the rain but wear out faster. The T230s are what I had on my old '86, and also what I've just fitted to my '00. I was very happy with them.
A lot of people here like the Metzeler ME880 which are dearer but last much longer, while still being sticky enough for most.
The Dunlops are total shite - soap like - steer away from them.
Dunno how many people have run the Bridgestone, they used to be OEM tires but dunno if they were the Exedras. I've had the Exedras on other bikes and they were ok.