I'm not going to participate in all family activities like going to the movies or going out for a meal
Do you parents want you to participate?
My parents get upset when I turn down invitations from them to get out
Your parents may be upset because you do not spend enough time with them despite them loving you very much. They may not know any other way to spend time with you so you could help them in that regard. Plan something out that all of you will enjoy.
My parents annoy me. I don't even like them
Even if they annoy you sometimes, it's always best to spend time with our parents before it is too late.