I'll be honest, most of the crossover stuff I stumble on is either on AO3 or FanFiction.net, but finding ones that actually nail the tone of both universes is a chore. So many writers just drop the Master Chief onto the Normandy and call it a day, with zero respect for the tech or power scaling. Like, a Spartan isn't just a beefier Shepard, their entire operational doctrine is different!
My process is usually to sort by kudos or bookmarks on Archive of Our Own, then immediately filter out anything tagged 'fluff' or 'crack' if I want something with stakes. There was this one ongoing series, I think it was called 'Charted Stars and Fractured Halos' or something? It treated the Flood as a Reaper-level existential threat, and the political tension between the UNSC and the Council felt believable. The author clearly knew their lore. That's the kind of deep-cut crossover I live for.
Honestly, the best ones seem to be older, posted back when both fandoms were at their peak. You have to dig through a lot of abandoned WIPs, though.