My T60 came with a stuck frame counter. Fortunately simply removing the top cover freed it.
Didn't find info online on how to remove the top, so here's a quick tutorial. There should be similarities with other Cosina-built bodies.
1. Six screws are holding the cover. The 2 in front (above lens mount) are regular screws, other four are self-tapping type;
2. Open the back and unscrew the rewind knob by holding the fork (keep the back open);
3. Remove the ISO wheel (three screws), remember the position;
4. Remove the two screws holding the wind lever cover from below;
5. Slide the keyed plate out by pressing down, remove the sprung washer, remove the winder.
That's it. Shutter button and speed setting wheel stay on the cover, there are no sync wires to the hot shoe.