I had a couple friends in high school (like the mid-late 1990s) who were into anime, but I never got into it at that point for some reason. I mean, I'd watched some Ghibli films, like most people, but had never explored anime beyond that. Until I was into my 30s, I had always viewed anime as being a) Ghibli movies, b) kid shows, like Pokemon or Yu-Gi-Oh, or c) pervy boob shows. And being a single guy, living alone, it was actually that last option that opened the door for me.
I remember stumbling across a clip of Sekirei on YouTube and thinking that it was kind of hot, for a cartoon. That was about four years ago. I was at my local comic book store buying some board game stuff, and I spotted the anime section so I just strolled over and saw the Sekirei DVD there. So I bought it. I watched it, thinking it would just be some silly-ass show with tons of cleavage (like an animated Baywatch or something), and I was actually surprisingly taken by the story in the end. It's funny, even stupid harem shows can have a tenderness to them, and a decent story. After that, I discovered MAL, and the incredibly wide and wonderful world of anime.
The thing I love most about anime is just how it's different from Western TV. Stories are my passion, I love TV and books and movies and video games. And Japanese storytellers have a subtly different way of approaching and telling stories. So having consumed so many Western stories over the years, it was very refreshing to find something different. I wouldn't say anime is necessarily better or worse than Western TV, but I just love that it's a different lens. And four years in, I'm still not tired or bored of it. I still find shows that surprise and inspire me.