What is a good first bike sport bike for someone 6 foot 4 inches?

you need to purchase a ducati S4R a super super bike and it is slightly longer reach and taller for extra leg length and no one will leave you in the dust.. I love mine and ive gone through a few to figure this out.. Answer

If you have your heart set on a sports bike your not going to be comfortable anyway. One option would be the old superbikes like the kawasaki ZX-9R, Yamaha thunderace and triumh daytona 955i

But probably the best would be the "big" 600's like the Yamaha thundercat or kawaski zzr600 which can be picked up pretty cheap, have plenty of go and in comparison to the new stuff are giants.