I like to play

‘Playing’ is something small children do.
When people become adults they ‘play (something)’, or ‘go out’, ‘hang out’, ‘socialise’, etc..

Examples

WrongRight
“What do you like to do?”
“I like to play.”
“What do you like to do?”
“I like to play sports.”
“What are you going to do this weekend?”
“My friend and I are going out to play.”
“What are you going to do this weekend?”
“My friend and I are going out to see a movie, have a few drinks, and maybe go to karaoke.”
“What did you do last night?”
“I went out to play with my friends.”
“What did you do last night?”
“I hung out with my friends.”