If I were to recommend a starter anime list, I would have to include Dragon Ball/Z/Super. Just too good.
But less 'anime veteran' anime, mostly.
-One Punch Man
-Neon Genesis Evangelion (the movies, not the show)
Pretty short, but really good stuff. If you want action, those are some of the best. They also don't rely on you having watched other stuff to get trope-based jokes or emotional investment.
Obviously, that's a super good list, but I wouldn't personally just start with most of those. Except Soul Eater. That was my first non-DB, non-Naruto anime and I loved the hell out of it. Still one of my favorites. Death Note might be really good to start with, too.
I dunno. Just preference, but I always find that people who start with anime from 2015+ tend to like it less than people who watch older stuff first. (One Punch Man being one of the few exceptions)