Three verbs are used with sports and activities: play (team sports / games with a ball or opponent), go (activities ending in -ing), and do (individual sports / exercise).
play + sport
football
/ˈfʊt.bɔːl/
I play football on Saturdays.
basketball
/ˈbɑːs.kɪt.bɔːl/
She plays basketball.
tennis
/ˈten.ɪs/
Do you play tennis?
volleyball
/ˈvɒl.i.bɔːl/
They play volleyball at the beach.
chess
/tʃes/
He plays chess every evening.
go + -ing activity
swimming
/ˈswɪm.ɪŋ/
She goes swimming on Mondays.
running
/ˈrʌn.ɪŋ/
I go running in the park.
cycling
/ˈsaɪ.klɪŋ/
He goes cycling at weekends.
skiing
/ˈskiː.ɪŋ/
We go skiing in winter.
dancing
/ˈdɑːn.sɪŋ/
She goes dancing on Fridays.
do + activity
yoga
/ˈjəʊ.ɡə/
I do yoga every morning.
karate
/kəˈrɑː.ti/
He does karate on Wednesdays.
gymnastics
/dʒɪmˈnæs.tɪks/
She does gymnastics.
exercise
/ˈek.sə.saɪz/
I do exercise three times a week.
Other hobbies
reading
/ˈriː.dɪŋ/
I like reading books.
cooking
/ˈkʊk.ɪŋ/
She loves cooking.
drawing
/ˈdrɔː.ɪŋ/
He enjoys drawing.
listening to music
/ˈlɪs.ən.ɪŋ tə ˈmjuː.zɪk/
I like listening to music.
watching TV
/ˈwɒtʃ.ɪŋ ˌtiːˈviː/
We watch TV in the evenings.
shopping
/ˈʃɒp.ɪŋ/
She goes shopping on Saturdays.
play / go / do — quick rule:
play — sports with a ball or opponent (football, tennis, chess). go — activities ending in -ing (swimming, running, cycling). do — individual activities without a ball (yoga, karate, exercise).