It’s an overlap between the back end of the fourth gen (aka 16-bit) era for consoles and then a full pivot to PC gaming in the years after. I really didn’t like the move to early 3D on consoles with their abysmal framerates and load times. I felt then (and still think today) it was a generation too early.
Marking the starting point is easy: 1994. An insane year for the SNES, Donkey Kong Country, Final Fantasy VI, Mega Man X, and Super Metroid all came out in North America that year. That run continued on the SNES until Yoshi’s Island in 1996. I did pick up a PlayStation but I wasn’t thrilled with it. There are some personal favorites from this time, too, but they still had the sprite art I was desperately missing: games like Final Fantasy Tactics, Suikoden, Symphony of the Night, Xenogears.
I’d been a PC gamer for a while, but I started moving more towards the platform with Blizzard’s ascendancy with Warcraft II in 1995 and Diablo in 1996. I’d finally get a dedicated GPU in 1998, and what a year for it: Half-Life, Thief: The Dark Project, Unreal, Tribes, Freespace. The less-demanding games of the year were no slouches either: Starcraft, Baldur’s Gate, Fallout 2. With a similarly impressive console lineup, it’s no surprise many consider 1998 the best year ever for video games.
The endpoint is harder to pin down. Maybe the death of the space sim genre with Freespace 2 in late 1999, or Blizzard’s last landmark game before the MMO era, Diablo II in mid-2000. At the very latest, a new era for me definitely began with the release of the Game Boy Advance in 2001, where I shifted mostly to PC + handheld platforms, where I’m still at today.