Wikipedia lists Tony Hawk's Pro Skater 4 as a sports game.
Released in 2002, Pro Skater 4 was developed by Neversoft and published by Activision. Its central activity is skateboarding: players perform flips, grinds, grabs, manuals, aerials, and linked combos while completing objectives or chasing high scores. That gameplay places it in the sports-game category, even though its exaggerated tricks and arcade scoring make it feel very different from a realistic simulator.
The answer can be confused with platform, racing, or fighting because the series includes varied environments, fast movement, and competitive multiplayer modes. Those describe individual gameplay elements, not the game's listed genre. Pro Skater 4 also expanded the series with a more open-ended career structure, in which players explored levels and accepted goals from characters instead of working through a strict time limit.
The game appeared on several systems, including PlayStation 2, Xbox, GameCube, PlayStation, and Game Boy Advance. Later ports reached Windows, Mac OS X, Tapwave Zodiac, and digiBLAST.