You are looking at multiple sports events in the Delhi region. Of the many popular sports some are
1.RUNNING: if you are into running for fun, fitness or a keen marathon runner. You can check out the following clubs
b.Hashers of Delhi (http://hashersofdelhi.com/contact). For instance the have run planned on June 16th Venue : S-534, 2nd Floor, GK-1, New Delhi.
c.India track club
146, Second Floor, MG Road
Mehrauli - Gurgaon Road,
Metro Pillar No.47,
New Delhi 110030, Delhi, India
+91 959 967 5963
+91 880 019 0254
d. Nike + run group
e.Gurgaon running club (https://www.meetup.com/Gurgaon-Running-Club/). They have runs in Lesiure valley park.
3.https://www.eventshigh.com/delhi/sports?src=hd. This website has the popular sports listed with the dates like hockey, swimming,cricket, badminton,football etc.
You have the Delhi lawn tennis association (http://www.dlta.in/contact-us.php), whom you can contact for events for public and other tennis clubs.
5. Please check out sites like these (http://www.focusdelhi.com/sports/), (https://www.townscript.com/delhi/sports-fitness) that give a break up of the stadiums and clubs that regularly have sports events.
You can also check out the locality you live in and the nearby parks. There would be small groups that are committed but NOT commercialised focussing on running, badminton etc. You can develop contacts or groups.
If your workplace or the neighborhood or the apartment complex has an what\s app group, just post a request, there would be many like you who are into some sports that you can link up with.