I used to have. 2005 gixxer 1000 and a 2006 gixxer 750 back in 2006.
The 1000 was a beast, more than you will ever need stock, that's before you even tune it, put headers and exhaust and power command it. Then it's deadly.
I would rec getting the 1000 over the 1300 for a few reasons, price, power to weight ratio and looks.
Busa's are cool but overkill IMO.
I'm getting a new bike soon, deciding btw r6 and gixxer 600, I'm not 25 anymore, no need to go Mach 1