RedCard 20-03 (Point of View/Midway, 2002)
Midway's take on soccer isn't edgy at all except for not bothering to call fouls, and the announcers even take it mostly seriously. That said, "not bothering to call fouls" does not improve the sport, especially when the exception to that rule is that they do still call penalty kicks. There wouldn't have been a reason to play this over the many alternatives even back in 2002.
Rei Fighter Gekitsui Senki (Global A Entertainment, 2003)
A flight sim that never released outside of Japan, presumably because it has you flying for Japan in WWII. It opens with Pearl Harbor, and while I don't know if it includes any actions more controversial than that, I can't imagine it would've gone down well in any other market. Looking past that, though, it barely has graphics, there's no sense of speed whatsoever, and it doesn't even control well. I don't think anyone would've wanted this even if it had a more widely appealing theme.
Reign of Fire (Kuju Entertainment/BAM! Entertainment, 2002)
Credit where credit is due: This latest forgotten movie game is at least not a collectathon platformer. Instead, it's a third person shooter that is apparently also a flight game in the dragon campaign. It doesn't control well and seemingly has about two colors in its pallet, so that's all the credit I'm willing to give it.
Resident Evil (Capcom, 2002)
Popularly known as REMake, this, well, remake of the PS1 classic updates the graphics and remixes the systems and enemies to make a game that felt surprising despite still being mostly the same. It's generally considered one of the best in the series, and I've been sitting on the Steam version of it for three years. I'm not putting it on the list for that reason, but maybe this'll inspire me to, you know, play the game I bought.
Resident Evil 2 (Capcom, 2003)
By contrast, RE2's GCN outing was widely criticized for being an unmodified port of the DualShock version of the PS1 game. It released at full price despite looking like... this, and it didn't even have features that were in the N64 release. While presumably better than the GameCom version, it's still not much of anyone's recommended way to play.
Resident Evil 3: Nemesis (Capcom, 2003)
I could basically copy paste the description from RE2 here and it'd almost all be true. This release one day earlier and was also criticized for being an unmodified port of a PS1 game that nonetheless charged full price. Like RE2, it's a game you should play elsewhere. It also got a full remake recently, but reception was nowhere near as positive as RE2's new version.
Resident Evil 4 (Capcom, 2005)
This is my personal pick for best RE game, which is about as uncontroversial of a gaming opinion as there is. RE4 shifted the perspective to an over-the-shoulder view and went all out on the campy nature that had always been part of the earlier games. It easily could've been a disaster, but instead it resulted in a shooter that's simultaneously tense and hilarious, and which still holds up great today. I've never played much of the GCN version, but the (much later) PC port made my top 100 games at #57.
Resident Evil Code: Veronica X (Capcom, 2003)
And with that classic out of the way, here's another unmodified port of an earlier game. This time it's a port of a PS2 game from 2001 that was itself a barely modified version of a Dreamcast game from 2000. The PS2 and especially the DC versions both got very positive reviews, but by 2003 everyone was apparently sick of playing the same game and this port fared much worse. This is the only mainline RE game that isn't playable on PC, interestingly, but it has been ported to more recent Sony and Microsoft consoles. Those are likely the best way to play it today.