Hot Wheels: Velocity X (Beyond Games/THQ, 2002)
A car combat game, but I only played a mode that challenges you to get to the point the arrow is guiding you to within a time limit. The arrow is useless considering how loopy the track is, and I can't imagine trying to shoot other cars with this layout. Still, it's obviously a kids game, and it seems like it'd be fun enough to make a young one happy.
Hot Wheels: World Race (Climax Brighton/THQ, 2003)
A racing game where you can do stunts to get boost points. There are a decent number of games like this, and it just feels completely by-the-numbers. You don't even get much sense of speed with how bland the backgrounds are and the lack of special effects.
Hudson Selection Vol. 1: Lode Runner (Red Entertainment/Hudson, 2003)
A 3D version of Lode Runner known as Cubic Lode Runner in-game. It's fine, but it doesn't seem like enough to have gotten its own disc in 2003.
Hudson Selection Vol. 2: Star Soldier (Red Entertainment/Hudson, 2003)
A shmup. I like the music, but I really don't like that even the normal enemies take several shots to kill. Honestly, everything in this genre kind of feels like the same game to me.
Hudson Selection Vol. 3: Bonk's Adventure (Red Entertainment/Hudson, 2003)
A 3D remake of Bonk's Adventure that looks horrible and plays just about as badly. There's a really awful flickering effect whenever you take damage or attacking anything. The whole game looks like Yoshi's Island after a long game of graphical telephone.
Hudson Selection Vol. 4: Adventure Island (Red Entertainment/Hudson, 2003)
This strange collection of NES-era remasters closes with Adventure Island, which now has a very low resolution texture in the background that you can even see the seam of. It's a boring game where you walk right forever and throw axes at enemies to avoid dying. If you touch an enemy, you die immediately and have to start over.
Hulk (Radical Entertainment/Vivendi, 2003)
Not to be confused with The Incredible Hulk, this more credible variant is a very, very simple brawler that opens by making you fight the same three soldiers over and over again. There's some mildly fun destructible environment stuff going on, at least, but it wasn't enough to stop me getting bored after about two minutes.
Hunter: The Reckoning (High Voltage Software/Interplay, 2003)
A hack-and-slash game set in the World of Darkness universe which opens by making you fight many clones of the same zombie in an empty, silent train station. They come in groups of two and phase in from nothing whenever one dies, but there was one time when a cutscene triggered showing me saving a civilian in the middle of a fight. I hadn't saved him yet, but this broken mess didn't know that.