Non-obvious game mechanics that are important yo know.

Greetings!

Recently I had a following situation in a game: both me and my opponent had a [[Vein Ripper]] on the board, alongside some smaller creatures, he was on quite low hp. He used a destruction-based boardwipe (the white one from the Bloomburrow, sorry don't remember the name), probably hoping that effects of both Rippers will even each other out. However, all the triggers of his Ripper went on the stack first, so my triggers resolved first, killing him before he could get healed.

I assume what happened there is that if triggers from both players happen simultaniously, then the ones belonging to the active player go on the stack first. Is that right? So I wanted to ask, what other similar interactions are important to know? Wouldn't want something similar happening to me. Thanks.