well since i am sure that you aren't going to listen to everyone, i would go with the R6, i have an 01 and i love it. it is similar to the ZX-6 i think, but i like it a little better. i hate the digital tach on the ninja's. however, my R6 wasn't my first bike. i started on a 1982 Yamaha Maxim (trust me the ladies don't care what kind of bike you have, they still will want a ride)
when you say you want to convince her, do you mean convince her to buy it for you? or just allow you to ride. if she is against it, you have no chance of getting her to buy it. if its just riding, buy some gear show her you want to be safe, and wear it EVERY time you ride. show responsibilty, she is most likely scared of you hurting yourself. and she is scared with good reason. the way i got to ride was my dad rode, so my mom couldn't really say no. good luck, and be safe