I use D16's Devastor, Redoptor and Decimort, the free Camelcrusher from Camel Audio plus Ableton's own Saturator, Vinyl Distortion and Erosion.
Between all those I can normally get where I want to.
Also check out JB's Ferox, a tape saturation plugin that can do some great overdrive if set up correctly.
It pops up on every track I do somewhere.
Jeroen Breebaart | Free VST plugins