"Hardporn Adventure" by Jot Enterprise (more from this author)
Style: (more or less) Interactive fiction

"Harry der Fensterputzer" by Brillant Software (more from this author)
Style: Exotic
Another one of my favourites! This German game (which translates to
"Harry the Window Cleaner") lets you peek into houses. Oooh! If only he
would wash faster... fortunately there's a slideshow available. :-P

"Hatchet Honeymoon" see "Sex and Violence Vol 1"
Style: (more or less) Interactive fiction

"Heltta Helmaan" by Mr. Eggman (more from this author)
Style: SHMUP!
In this excellently programmed (heh) finnish (Tony, ihan niin kuin kaikki
miehet, on tosi tyhmä!) game you control Kyrpa-Kari and try to reach his
destination which is moving up and down on the right side. Pretty easy
once you master your tool. Tony, did you hear that ? Master your tool!

"Hollywood Poker" by Golden Games (more from this author)
Style: Bet, stay or drop ?
We had a slideshow linked here but now
you just need to click on the gallery button.
Or read the manual. [1] [2] [3]

"Hollywood Poker Pro" by reLine Software (more from this author)
Style: Bet, stay or drop ?

To Hollywood Poker Pro Shrine


"Horny Wanker" by Metalvotze (more from this author)
Style: Joystick lover

To Stroker Shrine


"Hornyville" by Gary Stacey (more from this author)
Style: (more or less) Interactive fiction

"Hotel Herpes" by Malan (more from this author)
Style: (more or less) Interactive fiction
The second game in the "Albert Battersby and the Impatient Parser"
series. ;-) The first one was SOHO Sex Quest and just as coercive...