I think logitech has both some nice and some horrible mice. For example, the G400 has a very good optical sensor, no acceleration or prediction, sensible weight etc. The G500 on the other hand has a laser sensor with acceleration that does not track well on cloth, an off-center sensor, weighs a ton (and the weight is distributed in a weird way), awful scroll wheel for gaming (wobbly and hard to click) etc.
If you want to go without hassle and without driver, and want something that works, then I can recommend some of the mice Zowie makes, provided that their shape fits your anatomy and playstyle. I have the Zowie FK, which has a nice optical sensor that is more accurate and reliable than most mice out there. It is driver/softwarel-less. So settings like DPI and polling rate are changed directly on the mouse. The only problem is that, while not as expensive as some high end mice, they are not exactly cheap. One reason why my peripherals are without software (Sennheiser HD518 headphones with zalman clip on mic, Zowie FK mouse, Majestouch 2 keyboard) is because I also got sick of all the crappy software I ran into over the years. I figured I do not need it, and I was right.
