I'm using the complete Topps run from 1952 to the present. I used cards from the flagship brand that listed the player's position as catcher. Some players had more than one position listed, but if one of them was catcher, then they made the tile.
I ended up with 135 cards. The most from a particular year were the 1960 and 1990 sets which had four cards each. They were a few years that didn't include any Cub catcher.
You're not going to find a single hall of famer among the bunch. In fact, most of these guys weren't very good. If I had to pick the top few, I'd include Randy Hundley, Jody Davis, and Joe Girardi. Otherwise, you're left with some pretty mediocre players.