Oh, geez, there aren't many people here who remember the 1960s and 1970s - there were often two game shows competing against each other on the networks. Sometimes three.
In general, I usually chose the more intelligent game, even at a young age. The Newlywed Game, The Dating Game, and The Neighbors held little or no interest for me (but I'd often watch them because CBS and NBC ran soaps in those hours). Otherwise, if you had, say, The $25,000 Pyramid up against Time Machine, it wasn't a tough call.
Also, here's something that was a factor in the 1970s, but not any time thereafter: reception. Some channels came in better than others using that antenna (or those rabbit ears). In our area, WCBS (Channel 2) and WNBC (Channel 4) came in considerably better than WABC (Channel 7), so if it was pretty even otherwise, I'd go for CBS or NBC shows. It pains me to think how many episodes of Password and Split Second I missed because they were on opposite Jeopardy and The Who, What or Where Game, but that's the way it goes.