2D - Fighting Games - Offense better in most, but in fairness the occasional game filled with Aerial Campers or Projectile charathers in the entire high tier tends to just fail overall in attracting a commun
3D - "Arena Fighter" - Games such as Custom Robo or Virtual On - Very defense focused, even with occasional strong offensive charathers like Strike Vanishers, because Spacing to gain advantages defines the game both when going all with the Aerial Beuaty/Big Head, OR to give you the edge when two offensive players meet.
Real Time Strategy - Probbably the most famous "Defense Wins" Genre in many cases (especially in the medium to high Elo level before Offense comes back at top level) Games like Age of Empires, provide simple counters to opponets being aggresive early on (in the feudal era) because siege damage just isn't available until the castle era, so walls and towers simply can't be overcome except in lucky circumstances.... Command and Conquer (Kane's Wrath) features Turrets that build at full health, although in general it is a more offensive RTS. Starcraft might have the trademark on early-game cheese but because it is so well known most players actually overprepare for it and gurantee that games get to point of 3-4 base buildup. Company of Heroes is kinda interesting on the offense vs defense because of how your income is tied to your objectives held, and that psuedo/artillery units are given many drawbacks, but on the other hand the way penetration mechanics and supportive fire works can really punish reward defensive play.
Turn Based PVP RPGs - I think most of these are offense focused but tbh I think when defense gets a noticable advantage (per generation/patch) It can really drag down the game... Skarm/Bliss was NEVER that good, but it did troll low elo people, 4th gen celebi + Resttalk suicune + torment Heatran on the other hand, was a stalling nightmare, especially as premier offense back then needed setup turns instead of being good out of the gate. (6-7th gen Regenertor Cores would have been oppresive if they had appeared 1 generation earlier but were too late to handle to scaling of offense) ... Monster Santruacy is probbably a more extreme eample than pokemon, with teams that stack debuffs being generally more oppresive than teams that stack buffs.