Overdrive is such a tough effect to pin down. So many different ideas of what a good overdriven tone is, not to mention that playing style and the amp/cabs being used play a bigger role than most realize. Downtuning and/or playing aggressively changes the tone and feel of nearly every OD pedal I've ever tried.
There are fairly transparent pedals and ones that color your tone enormously. ODs that are touch sensitive and ones that aren't, ones that are round and tubey versus aggressive and gritty and ones that are bright and sharp versus dark and grunty.
For as often as I change around my board, I've found plenty of fuzzes, filters, delays, phasers etc that I could gig with happily. Overdrive is the only effect type that I like but have never found one I was all that happy with. The Blueberry was the closest, but the difference between my clean and overdriven tones was just a bit too much. Still, a lovely OD.