Phantom4ever said: "Since the Tony Awards are neither ON Broadway nor OFF Broadway, unless you have a separate section for events, concerts, etc, then it shouldn't be grouped with regular off/on Broadway shows. I myself only keep meticulous and complicated charts, lists, and diagrams of only Broadway shows that I see."
There are many shows that are neither on or off-broadway. And the OP never said they were only counting Broadway and Off-Broadway.
I think an awards ceremony is still a show, it's just not "theatre" (although, a case could be made...). I tend to err on the side of broad definitions, so I usually consider any performance or special event a "show" when I'm keeping track of my yearly show-seeing habits. Anything where there's an audience, basically (you could even make a case for sports games, though I never go to them). But as I said earlier, if someone asked me to count how many pieces of THEATRE I saw this year, I wouldn't count an awards show.