Has there ever been a team-up of Batman from the 1960's tv series with a superman of the same period? I don't think it ever happened in the tv series, but say in a comic or cartoon, even if it's a recent comic/cartoon but obviously intended to be the same universe as the original tv series?
Superman and Batman "crossed over" almost as soon as they were in print. Superman debuted in 1938 and the first Batman/Superman co-venture was in 1940 albeit in separate stories in the same issue.
The first "shared story" was in 1952 in Superman #76 in a story entitled 'The Mightiest Team in the World' where Superman and Batman are forced to share a cabin on a cruise liner.
There were numerous shared story comics in the 1960s (embodying many of the traits of the TV Batman and Superman) including "The Composite Superman!" in which both characters are literally combined by a freak accident and "The Sons of Superman and Batman" set in an alternate universe in which both characters have children.
You can find a wealth of covers and additional info here.
Per Sumbuddy's comment below, I've investigated the Annuals that were published while the TV series was on the air and found this. It appears to be a crossover between Superman and Batman with batman modelled on the 1966 TV series.