I heard drips and drabs about the ME series over the years via Internet osmosis, but I finally decided "I should play this" when I overheard the 'controversy' about the m/m romance options in ME3. (I'm gay.) That said, I didn't actually get off my ass and buy the game until 2015, when a friend point blank told me "here, you have to play this". So I plunked down some change on the PS3 release of the trilogy and started playing.
I pretty much fell in love with the series right away, with "Vigil" playing over the ME1 title screen. Played through the first game, saved all the Feros colonists, spared the Rachni queen, talked down Wrex, saved Kaidan, talked Saren into redeeming himself, saved the Council. Basically a goody two-shoes Paragon run. Loved the story, loved the characters, loved the music, was excited for the next installment.
Started the second game... rolled my eyes at Shepard's death/resurrection, got frustrated that they'd changed the ME1 gameplay (took me a while to warm up to it), got pissed off at the dialog railroading on Horizon, remarked to my friend "huh, this game is very... post-9/11, isn't it?" while wandering the Citadel, outright laughed when I saw the human proto-Reaper... but the game had enough great character moments that I was like "well, not as good as the first, but I'm still enjoying it".
Started the third game... teared up a little visiting Kaidan in the hospital, got sucked in to the story when Wrex showed up and I kicked ass on Tuchanka, got even more sucked into the story when Legion showed up and I negotiated peace on Rannoch, was almost as despondent as Shepard after Thessia, romanced Kaidan, was awed by the Leviathan DLC, was annoyed by the Omega DLC, had a blast with the Citadel DLC, beat the game once without the Extended Cut DLC (to see what the controversy was about), installed the Extended Cut and beat it again, teared up again when Kaidan put my plaque on the Normandy memorial wall. Basically: thoroughly enjoyed the game, despite the warts.
Bought the trilogy + all DLC again for PC. Excitedly babbled about the trilogy to anyone who would listen. Started writing ME fanfic. Talked my sister into playing the trilogy (she's about 3/4 through ME2, about to finish Lair of the Shadow Broker). Talked my ex into playing the trilogy (he's at Virmire on ME1).