My 2004 Mini non-S with 150,000 miles starting doing something funny last week. When I try to activate a left or right turn signal, there is no flashing of the green indicator light or clicking in the car, but the lights themselves are working outside the car. And then, the other day the dash indicator lights in the car went out and then came back in a few minutes. The problem is intermittent, but is getting worse. If I turn the car off for a few minutes it all seems to come back. I'm hoping someone can diagnose it.

Sounds like you have a couple of issues happening at the same time, both have a simple fix. There are two fuse boxes in most cars, one under the hood and the other on the inside ( on the Mini) I believe that it is on the kick plate on the passenger side. Check if the fuses are good and check the connections. With 150,000 miles on it, I would tend to think that corrosion has set in one of those or both of the boxes. If that turns out to be a dead end, the flasher may be faulty, these are usually round and come out with a twist. I might add that I think the issue is corrosion. If you need to know how to get rid of it, contact me.