I don’t know which actually came first, but Liar’s Dice is also known as Call my bluff, which I believe is still in print.
In the interest of getting people weaned off of the bad games that tend to be popular anyway, and onto the good stuff that no one seems to know about, here are some suggestions:
If you like Monopoly, you might enjoy Acquire, which is faster and less luck dependent.
If you like Risk, you might enjoy Vinci which is like risk, but faster and without as much luck, and with a neat system of rising and falling empires. Or you might enjoy Diplomacy which has no luck at all, and is nice and long, and full of backstabbing. Or at least try Risk 2210 which adds some more strategy and cuts down the time to a reasonabe level.
If you like Life, try Careers, which has a neat “make your own victory conditions” component.
If you like Balderdash, Taboo, Scattergories, and the like (none of which are bad, but just for comparison) try Apples to Apples. A great party game where you try to play the best noun from your hand to match the adjective on the table, and each player gets a turn as the judge. Find out which is more Touchy-Feely: Bill Clinton, Micheal Jackson, Giant Squid, or Pond Scum.
If you like chess, but aren’t a fanatic about it, you might enjoy Nightmare Chess, which adds funky action cards to the classic game.
If you like Axis & Allies, God help you… Just kidding. Try Samurai Swords, it’s more of the same, but better.