The Woodmont Youth Association is in need of volunteers right now! Positions are available working at concessions, keeping score, and taking tickets at entry as well as set up and take down.
The Greenville Zoo can always use volunteers and they have a couple of programs specifically for teenagers: https://sc-greenvillezoo.civicplus.com/226/Volunteers
In the summer, Roper Mountain Science Center needs teen volunteers for their summer camps: https://www.ropermountain.org/pages.asp?titleid=volunteers
There is also a Saturday shift at the Salvation Army Dining Hall : https://www.volunteermark.com/the-salvation-army-of-greenville/lunch-dining-hall-help-1710186388587