Well... its not mopeds (sorry).. but there were 2 new 50cc records set this year at Bonneville.
They were set with a Yamaha YSR50 with a 'sidecar' on it at 37mph(gas) and 39 mph (fuel).
These are slow speeds because almost nobody has ever tried this class.
Here are a few pics.
and ummmmm....I don't know what class this guy is in!