Yeah, there are games with enemies like that. Real pain. A single enemy with maul and high chance to hit can easily take out a far stronger enemy. I.E.: In theory, a bear with maul could beat a tank because tanks are hard to miss. Even more so if flanking in the first attack, I think.
(Been a time since I played FE)
My own death:
Replaying the game from the second one (I dunno, first just doesn't feel good enough for me). I'm at Recruit Archangel mission, when you have to go and close shutters. I'm playing on Hardcore difficulty. I close the first shutter, then head into the narrower passageway with all the obstacles. I easily pick off the vorcha until the corner. After the corner, there's a vorcha pyro which practically instakills me. I tried again and again with varying tactics, but couldn't really find a way to kill it with first shot (I later found shooting the gas tank instakilled while headshot didn't). Eventually, I sent Jacob in alone to divert its attention while I let off a short-range barrage of heavy pistol fire.
Mass Effect 2, Infiltrator. Had no upgrades and my bonus power was flashbang grenade. (I cheated that over to Warp Ammo as I should have had that unlocked)