my niece homeschools her children but they are involved in tons of activities from soccer to dance and lots of play groups. they are very young still, under 8 years old, but I'm pretty certain they will continue activities similarly as they grow older. they are all very involved in their church as well.
is there a reason your parents choose to not involve you in any sports or other activities?

my other sister in law homeschooled her daughter and kept her rather isolated for a number of years but as she became an adolescent the daughter got involved in environmental issues and activities and is now in college...we did fear for her well being for a long time though because honestly...she was and still is kind of an odd kid. she's turned out pretty cool though.

homeschooling in and of itself is not always a problem, it's how it's conducted by the parents involved. I've known quite a few whose children have grown up to be nurses and sailors and social workers, smart wonderful kids. but i know of one other girl whose mother homeschooled her and she has been isolated and oversheltered. she's 22 now and has no driver's license and has absolutely no filter when she is with people.

Do you have any relatives you could talk to about how your parents aren't allowing you to socialize with other people? I imagine they might be trying to keep you safe and keeping you from 'bad' influences. perhaps a relative or family friend could help you out?