See Reset Mobility Chess for more playable variation.

Whole Game Mobility Chess rules

(was Drawless Chess) Short versions:
What is the least amount of available legal moves you can force opponent into without allowing opponent to do you same first or worse later? Not being in check counts as ½ moves. -Aloril42

What is the minimum of remaining legal moves in this position one can force upon the opponent, without being forced similarly by the opponent? -kanchess

What is the least number of available moves that can be forced? Which side has such position first? -mrbdzz

Longer version:

Game is played normally and ends as usual with potential exception of adjudication in tablebase position for engine play. For engine and CC play can also have 50-move rule ignored if have proof of result for example in form of tablebase result. Earliest most important goal achieved in game is the result of the game and player forcing opponent into it wins. Resign counts as G0.0 unless some other condition is mentioned and accepted by opponent. In games between humans available goals could be restricted to 3 legal moves and more than that considered as draw as it is in classical chess rules.
Season 16 League 2 example scoring
WCC 2018 example scoring

Original puzzle studies, solved by lmabacus: First 64 games and games 65-100. and as pgns
Additions and games
Uncensored original pgns
Complete list of record games and statistics for all 2-5 piece tablebases with symmetries and without symmetries.
Statistics for 2-5 pieces

Mysterious hashes:
echo -n "What is the least amount of available legal moves you can force opponent into? Not being in check counts as ½ moves."|md5sum
710fab3c88005b6c7940b948aafa2a2d -
echo -n "What is the least amount of available legal moves you can force opponent into without allowing opponent to do you same first or worse later? Not being in check counts as ½ moves."|md5sum
9c9dfd919ade74d8d0678e68bf3c4b5d -