I'm surprised at how many recent fans are here (i.e., post-2000). I'm old enough to remember '93, but less of '92 (at that age, one year makes a big difference). I remember going to games with my dad when I was really little, but can't remember any specific dates or years. I had the '93 Series on tape and I'd watch it over and over again throughout '94. At that time, the Jays being dominant was as natural as anything. I remember I was super pumped for '94 baseball but the season was obviously cut short. During that year and '95 I'd "simulate" every game by pitching to the wall outside the house. Different bricks would be strikes, balls, hits, etc. I'd blow through nine innings to try to come up with a prediction. (The actual games turned out nothing like my simulations, obvs.) I even had a whole binder full of boxscores that I'd keep -- probably lasted from 94-96, but maybe only til 95. Literally, just page after page of childish record keeping for every game. I didn't understand pitcher wins or losses, and since box scores were hard to come by pre-internet, I'd always give the starter the win or the loss regardless of what actually happened. I usually wouldn't be able to stay up late to watch games to the end so TSN Sportsdesk was pretty invaluable while eating toast the next morning. They didn't have score tickers back then yet so the little highlight reel narratives were still exciting, waiting to see who'd come out on top.
I remember the Indians rising to offensive dominance (and then the Yankees going on a dynasty run). I lost a bit of interest in the very late 90s-early 2000s as a young-ish teenager, as teenagers are wont to do, finding other interests like moping. Got back into baseball around 2005 and I've been "on the wagon" ever since, although 2009 nearly lost me entirely. The last game I ever saw with my dad was in 2007 -- August, maybe September, vs. the Mariners. Pretty decent seats (I think 200s or better). McGowan started, Accardo closed. Aaron Hill got the eventual winning RBI. Jays won 2-1.
I was very busy during 2010-11, so keeping up was off-and-on. 2012 and on I've been die-hard again though, even if 2013 was worse than having your hair catch fire every night.