I've seen some familiar set props used on some game shows, carrying over a another show, and I'm not referring to revivals of the same show. Here are some of them:
The familiar playing table on original "Password," moving over to "Snap Judgment."
Wink Martindale's plexiglass podium from "How's Your Mother-in-Law," turning up on "American Bandstand," starting in late 1969.
The number scrambler from Jim Lange's "Twenty-One," pilot, used on Kline and Friends' "Break the Bank."
The dice table from the 1978-1980 "High Rollers," moving to "Las Vegas Gambit," in 1981.
The podium from the "Get Rich Quick," pilot, to the last six months of "$20,000 Pyramid," and the entire "$50,000 Pyramid," run.
Bill Cullen's end game podium from "Hot Potato," moving along with Cullen to "The Joker's Wild."
The contestant wheel from "The Wizard of Odds," becoming the Melody Roulette wheel on "Name That Tune."
The glitzy/flashy lights positioned behind the cars on "Split Second," occassionally turning up on "Let's Make a Deal."
Anything else come to mind?