Great shout.
Another vote for TTs
I went to the TT a few years ago and you have a lot more idea about what's going on than in a normal stage.
I waited by the finish. If you get there early the early finishers are there and they aren't the worst riders - often some of the best - just not up on the GC so a lot of sprinters etc.
The team buses were all parked up by the finish and when the riders finished they went and sat in them or sunned themselves on the grass around and about.
Apart from the USPS bus, the others were all just free to wonder up to.
I spent about 20 minutes cgatting to Magnus Backstedt who was bored having finished but had to wait by the bus for the better TTers to come in.
You can also walk around the course away from the finish and stand alone in an empty street when suddenly a professional athlete whooshes by in the blinking of an eye, with no noise. Twas an amazing sight