The Hulk's gaming record is mostly guest work. He shows up across Marvel's ensemble games, from the Marvel vs. Capcom fighters to Ultimate Alliance and the LEGO Marvel titles, and those crossovers (Marvel vs. Capcom 2 and LEGO Marvel Super Heroes both rate 8.2) are often better games than his solo outings.
One exception stands clear of the pack: The Incredible Hulk: Ultimate Destruction (2005), at 8.1 the best solo Hulk game by a wide margin over the 2003 movie tie-in (5.9). Marvel's Avengers (2020, 6.6) put him back in an ensemble to middling effect. Start with Ultimate Destruction; treat everything else here as cameo territory.
The Hulk franchise spans 4 games in the CrossBinge catalog.