Is that the sort of thing you want?
Yes, any and all visions of who you want to be or don't want to be are great input. ^_^ If you wanted to comment on jobs or problem-solving activities you'd like to do, that would also be wonderful.
Let me tell you, for contrast, the near-useless standard
RPG character types we have been finding very difficult to convert to romance heroines. In the typical RPG the major activity is killing monsters - no exceptions. So character types are mainly about the style with which one kills monsters. The usual roles a player can choose from are:
knight (weapons and armor, probably no magic, sometimes they are paladins with a religious affiliation),
thief,
mage (sometimes mages can specialize as healers, as opposed to the usual fireball-throwing combat mage; sometimes mage is substituted for with priest, basically they pray to a patron diety to cast each spell),
archer,
summoner (this person fights alongside pet animals or summoned demons), and
shapeshifter (into animal forms).
In addition to this main role, RPG players may get to choose secondary roles such as
crafting professions (herbalist, farmer, baker, hunter/butcher/skinner, miner, lumberjack, smith, leatherworker, tailor, jeweler, fisherman/woman). Then there are
faction alignments, which I think has the most potential to be relevant to romance novels. A faction alignment is where you as a player develop a good reputation with an organization within the game world. This is basically done by doing favors or missions for people of that faction, and by thwarting their enemies' plans.
For a different perspective we can look at
adventure games, which probably include the pirate bodiceripper mentioned (Can I get the title of that by the way? I've actually never heard of that one and I'd love to look at it.) In the adventure game the player's main role is
puzzle-solver ala Indianna Jones (although they may still also need to kill lots of monsters.) For example in the Zelda series the main character Link spends a lot of time pulling switches, lighting torches, and pushing blocks to solve puzzles, but he also has a sword, a bow, magic, and some other specialized tools like bombs, a boomerang, and a grappling hook. On the other hand many adventure games, for example the Myst series, do not have any combat or monsters at all, only puzzle solving.
Finally there are
sim games. In this kind of game the player's primary role is their
profession. The strategic choice the player makes is how to use their time efficiently - what to do within their profession, how much time to devote to personal upkeep that does not advance the profession, when to spend money to improve tools or properties, and how much time and money to spend on courtship activities.
Dating Sims such as Beezle mentions actually don't have to be sims, they can be any of the three game types described above. A dating sim is any game where the player is presented with 3 or more love interest characters (NPCs) with whom they can try to build a relationship by talking to them, giving them presents, answering questions in a way that pleases that character, solving problems that bother that character, etc. So yes, any kind of romance videogame where the heroine built a relationship with a hero would be similar to a dating sim. Dating sims aren't specifically romance novels as video games though, many of them are designed for a male audience, having a male main character and female love interest characters. Some of these are specifically erotica, where the player's ultimate reward for wooing a character is some erotic art illustrating the player's character having sex with the courted character.