The Edge from U2 uses a TS9 for most of his overdrive tones, as do countless other famous rock and blues players.
This is also Jim Weider's favorite chip in the King Of Tone pedal.
Some of the early TS-808s also have a nut holding the power adaptor jack on, while later ones have no nut and a flush adaptor jack. You can see one of the Narrow Euro TS-808 pedals, it's the leftmost of the TS-808s. The bottom right is the original orange Ibanez Overdrive, with the slightly later OVERDRIVE-II on it's left, with the last version OVERDRIVE-II one more to the left.
They have a little bit more grit which some people might like.
The early TS808 used a circuit board marked MP-D01201A, then in late 1980 or so they changed to the MP-D01201B board.
The most popular use of a tube screamer is to push a tube amp to make it overdrive more, but they sound good through almost anything.
If you are a geek like we are, check out this awesome article Tube Screamers Secret for some cool info about why the tube screamer circuit sounds so good.
When he played through big clean amps he turned the drive up more, about 1/2 way, with tone on about 3 and level about 7 to get the distortion from the TS.
Around 1982 until 1985 the Ibanez pedals were repackaged and the 9-series of effects were made.
The main change in the TS-9 circuit is in the output section.