"Branded"'s syndication rights are owned by King World and I'm sure they'd pull it out if someone wanted it.
It seems to me that "The Richard Boone Show" is extant in at least part, due to it being made on film and the prestigious nature of the project. Under the standard contract for independent production companies, the network's syndication division (that being NBC Films) handled the syndication. Since the libraries of all of the original syndication arms of the Big 3 are now owned by Paramount, they would probably control the show, unless they sold it back to G-T or one of its successors.
"The Don Rickles Show," if it is extant, is probably in terrible condition and it seems to me that no one at G-T had a particular interest in keeping it.
And "That's My Line!" is probably extant and may've even been included in the conversion project or scheduled to be included until someone noticed it wasn't a game show. I would venture that the tapes for that one are otherwise somewhere in the bowels of TV City.
And the live episodes of "The Web" are probably long gone, but the one filmed series could be extant and would be distributed by Paramount.
And to back up on Matt's post, Max Lliebman kept most of the kinescopes of "Your Show of Shows" and its successor, "Caesar's Hour" (as for its predecessor, "The Admiral Broadway Revue," that's up in the air) and made a compilation theatrical film, "Ten From 'Your Show of Shows,'" in the 70s. In the 80s, Caesar acquired the rights to the shows from the Liebman estate and hosted a syndicated repackage of the series that also ran on the old HA! and the early days of Comedy Central.