Newsstand gaming mags are... kind of dying. Unless you want to churn out content mill-type articles and shallow reviews for terrible pay, but you've already recognized that that's kind of terrible, so.
The real action in games journalism is happening online. So step one: start a blog, find your voice and your angle, and write about everything you play. Do it well and consistently. I'd recommend against reviewing; instead, take a more critical or experiential approach. The (very positive) trend in new games journalism is that it really emphasizes individual writers' voices and tastes.
Here are some references to get familiar with. Some might pay for articles, but I'd expect them to be very competitive as most are run by tight-knit communities of games journalists. Use this list instead to get an idea of the kind of writing I'm talking about, and how that writing is presented and marketed:
Some prominent games writers have released print books, mainly focused on aspects of gaming culture, which have done fairly well:
- Rise of the Videogame Zinesters (Anna Anthropy)
- This Gaming Life (Jim Rossignol)
- Killing Is Harmless (Brendan Keogh)
So that's a potential avenue as well. And of course, nobody says you can't self-pub such books. (In fact, one could argue that we're seeing the very beginnings of an emerging market, here.)
Most of the prominent writers in this space are
extremely active on Twitter. Consider reaching out to them. I've met several, and they're some of the most wonderful people: if you're polite and professional, I'm sure you can get some traction.