Dread

As a system with no numbers involved, Dread character creation doesn't require rolling any dice, or spending any points.  In fact, all it requires is answering a questionnaire written in advance by the game's "Host" (ie. GM).

The Host provides a different questionnaire for each player, and the questionnaire is a roughly a single page full of questions, with plenty of room for corresponding answers.  The player answers the questions, defining aspects of their character, and then ... they're ready to play.

There are no official  classes or races in Dread, but because the Host can provide different questionnaires to different players (potentially with leading questions on them), there's nothing stopping them from offering different roles or even different races for each character.  For instance, a host might want to run a game where one character has already been bitten by a werewolf, and so  that character's questionnaire might ask "when and where were you bitten?"

To accomplish most things in Dread the player simply says that their character will do them, and they do.  However, whenever there is a serious question of whether they can (ie. when other RPGs would have you make a "skill check" or similar roll) the player "rolls" by removing a block from the Jenga tower and placing it on top.  If they succeed, the action succeeds.

However, if at any point anyone (even someone other than the puller) causes the tower to fall, not only does the action fail, but the person responsible's character is removed from the game.  They may die, or they may go into a coma, have to visit a sick relative, etc., but they are gone for the rest of the session.

If, in the middle of a pull, a player wants to stop (because they are afraid of tipping the tower), they can, but their action fails (and if they somehow wind up accidentally toppling the tower anyway, they still lose their character).  Also some actions, which are particularly long or complex, may require multiple pulls to succeed, at the Host's discretion.

Each time a character is removed and the tower is restacked, three extra blocks (per character) are removed and added to the top of the tower, making it increasingly less stable later in the game.  However, at any time (if the tower looks too unsteady), a player may opt to sacrifice themself, knocking over the tower and dying, and but getting an automatic success on their final action in the process.

Finally, players can always opt to take an unnecessary pull, in order to do some regular action exceptionally well.

Because of the simple game system, combat against NPCs is similarly a simple question of pulls, with the Host deciding how many (if any) are needed to win.  A character with a military or street fight background (per their questionnaire) might be able to beat up an ordinary person without any pulls, but most fights will require at least a pull to win, if not one pull per "attack".

If players wish to fight amongst themselves however, things get a bit more interesting.  First the attacker makes a pull to succeed, then the defender can make a pull to defend themselves.  After that the defender can opt to make an attack by making (yet another) pull, and the process continues back and forth until one side backs down.

There are no hit points or similar injury mechanic in Dread, simply Host-assigned consequences.  A successful punch might knock a man out, give him a black eye, break his jaw, or do all three.