This was going to be my recommendation. I love mine. It's relatively inexpensive and it covers a lot of bases. Germanium overdrive, germanium distortion, germanium fuzz that goes from fuzz face to full on gated splatty bitcrusher fuzz, and a lot else inbetween. The overdrive, the distortion, and the fuzz all sound pretty good. You can dial in overdrive and distortion, or overdrive and fuzz, or distortion and fuzz with the two side of the pedal, but not all three at once. When you have good overdrive in the left and good overdrive in the right, both does not equal fuzz, it equals more saturated distortion. When you dial in a good fuzz, the distortion in the right sounds good, and both for fuzz sounds good, but the left overdrive will be harsh. So it does a variety, but there is a limitation to the sounds you can have on tap with any combination of the two sides individually or at once. Still, it was the first thing that sprang to my mind, given your requirements/wants. But I also thought of another pedal that I have that walks the line between distortion and fuzz that has some variety and flexibility. Works great with a clean or overdriven amp. Loose and open sounding. Goes from distortion to fuzz face to shin-ei, to super gated splatty fuzz. Fender, The Pelt.