Hero Generations is an indie social game that's an RPG of a sort. The graphics are SNES-ish, and you control a 'hero' who moves about the world, fighting monsters and having encounters to increase their "fame," which is your score. The world is an 8x8 grid, and each time you move one square you "age a year." The HUD reports how many years of life you have remaining, though each time you lose a battle you love 5 years of life (unless you have a shield).
The objective, really, is to maximize your fame in your limited lifespan; your high score is reported on a leaderboard at game load and compared to the high scores of your friends. I considerably outrank Frank Lantz, ahem.
In towns on the map, you encounter potential mates who will love you if you achieve certain objectives; some want you to be rich, some famous, and some strong. If you return to a town where you've met a mate's criterion, you may marry, at which point this character's game is over, and you now play as "your child." Your child inherits any items you possessed (though inventory is limited to two), and in addition, characters tend to improve with each generation. Apparently there's Lamarkian genetics in this world, since the stronger your previous character was, the stronger your next one will be. Should you fail to mate before dying, however, your line dies out, and you have to start over from scratch.
It's suprisingly engaging for a highly constrained game framework, and it feels something like a small-scale Rogue-like, since the world and its population of enemies is randomly generated, and their motions semi-random. This does mean that you can luck out with a particular character, or be screwed -- I had an elderly character (strength declines with age) trying desperately to get into a town with a potential mate, but a monster more powerful than I kept on moving into the same town and beating me, until I wound up dying, barred by cruel fate from my lady love.
Hero Generations monetizes through the sale of game items, and extra bonuses for new characters, but as with most FTP games, these are purely optional. Given the limited framework of the game, I wouldn't expect it to retain users for long, but it's original in its approach to lifespan and inheritance. It's also a 2011 Indiecade finalist.