遊びたくない

don't want to play; don't want to hang out

→ 遊ぶ
遊び play, have fun + たく Desiderative (want to) + ない Negative
verb · desiderative Rare #40,571
don't want to play; don't want to hang out
JA: 今日は遊びたくない。
EN: I don't want to play today.
Conjugation of 遊ぶ
Desiderative

トムとは遊びたくない

I don't want to hang out with Tom.

遊びたくないんだけど

I don't want to hang out, though.

トムモルモット遊びたくないって断ったんだ

Tom refused, saying he didn’t want to play with the guinea pig.

遊びたくないのか

Don’t you want to play?

— ファニーゲーム (1997)