I have this one
http://www.logitech.com/en-us/mice-pointers/mice/performance-mouse-mx
It's as accurate as any wired Logitech mouse I've had. You can couple it with a wireless solar keyboard and use the same wireless dongle, keeps more ports free. I just have to charge it once a week for a couple of hours and I use it nonstop all day, everyday. I think it feels better than any wired mouse because it's physically heavier because of the battery inside of it. It gives better feedback that way.
Just don't pay $100 for it, you can find it for a lot less.
I have the same one on both my gaming machine and my work machine, and love it. Great mouse.