Hoyle Card Games (Sandbox Interactive/Sierra On-line, 2000)
Another collection of public domain card games. Most of them are things like Go Fish and War that are barely games and that are odd choices for a game seemingly aimed at adults. It does have a good variety of solitaire games as well as Hearts and Spades, though, and you can play 2 player on the game GBC.
Hoyle Casino (Pulsar Interactive/Sierra On-line, 2000)
Another collection of public domain casino games. I guess it's cheaper than going to the casino for real, but most of these just don't seem fun at all. There's nothing very interesting about it.
Hugo: Black Diamond Fever (ITE Media, 2001)
All three of these upcoming games were Europe-exclusive and based on "an interactive game show." This one has you climbing up and down ladders to whack crocodiles with your whip. If you hit them twice, you can touch them to kill them and get gems. Do that to all the crocs on the level and you win. It's not a horrible idea, but it's a little too simple to be very interesting.
Hugo: The Evil Mirror (ITE Media, 2002)
Now you jump between platforms instead of climbing ladders, and you have a freeze ray instead of a whip. Shooting enemies with it for a second or so freezes them, and shooting the block pushes it. If you push it off a cliff, they die and turn into gems. It's much more interesting than the last game, but still probably too simple to stay fun for a whole game.
Hugo 2 1/2 (Bit Managers/Infogrames, 1999)
The first Hugo game was actually exclusive to Germany, and that's probably because it's so awful that it wasn't worth paying translators to take it anywhere else. You swim forward automatically and need to move left or right to dodge the incoming sea creatures, but you also have an air meter that forces you to occasionally swim to the surface. You can only do this in the center lane, and doing so blocks your view of any incoming fish because of the perspective. Since you can't see, coming up for air is essentially a gamble of whether you're going to die without being able to do anything about it. What could be more fun?
Hunter x Hunter: Hunter no Keifu (Konami, 2000)
It has you go through this whole character customization thing and then makes you play as this indistinct purple character anyway. It's a simultaneous moves turn based game where you get to plan two actions before all of the many characters do both of theirs at once. I think you're trying to find items on the map, but I wouldn't know because there were a million lines of boring story before this and I was skipping. It's unique, but I don't think it's good.
Hunter x Hunter: Kindan no Hihou (ITL/Konami, 2001)
I don't know enough about the series to say this with any evidence, but I strongly suspect this is a reskinned Castlevania game because, well, look at it. It even has the flame effect when you kill an enemy and the weird frozen lunge animation if you use your whip in the air. Seems fine, although the level design is kind of boring early on.
Hype: The Time Quest (Planet Interactive/Ubisoft, 2000)
This is an interesting one. It's a Playmobil game that was exclusive to Europe and Brazil for some reason, and it looks like a Zelda game in the hub town only to turn into a Ninja Gaiden-y platformer in the actual levels. I'd love to see this at a GDQ because most of the mechanics are decent and your character is extremely fast for one of these games, but the level design is unfortunately a confusing mess after the first level. Some enemy placement doesn't feel particularly fair, either.
Ide Yosuke no Mahjong Kyoushitsu GB (Athena, 2000)
I am running out of ways to say I don't know how to play ricci mahjong. This is yet another one of those, and seems notable only in that it has quite a few opponent characters to pick from and a the font is somehow a bit less readable than in the others.
Indiana Jones and the Infernal Machine (HotGen/THQ, 2001)
As you might imagine for a character who is most famous for using a whip, our old pal Indiana Jones starts this game completely empty-handed. It's a really ugly puzzle game where you wander around ruins and get chased by scorpions that will poison you. The meter on the left is an oxygen bar that sticks around even when you're not underwater. It seems to have received mediocre to decent reviews back in the day, but I can't imagine why.