The 7th Guest

"You must be older than computer games that were played on CDs[fn1] to be served in this establishment."

 

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fn1:  Or close enough.  I can't find an authoritative source on which game was actually the first to appear exclusively on CD-ROM, but this was the first big one, although LucasArts would soon follow with Rebel Assault.  The earlier Star Wars title X Wing eventually became available that way, too, but the first release was sold on 3 1/2s---if memory serves, you had to load about twelve of them onto your hard drive before you could play the game.