What are my chances at big time colleges

GPA: 3.87
ACT: 25
Class rank: don’t know yet
I will have 6 AP courses complete by graduation (AP Chemistry, AP Stats, AP US History, AP Literature, AP Language, AP Biology)
I will also have completed 3 Concurrent Enrollment classes by graduation (CC Math 1050/1060, CC Medical Terminology, CC Sports Medicine)
Extra Curriculars:
Cross Country 9th and 10th grade
Track and Field 9th, 10th, and 11th grade
Football 11th grade
Basketball 10th grade
Indoor Track and Field 9th and 11th grade
Latinos in Action service group 9th, 10th, 11th grade (100+ hours of service a year)
National Honor Society
HOSA

What are my chances at schools such as Stanford, Duke, UCLA, UC Berkeley?

The acceptance rates for the schools that you listed are as follows:

Stanford: 5%
Duke: 13%
UC Berkeley: 17%
UCLA: 18%

Having said that, everything on your application looks fine except for your test scores. That ACT score puts Stanford and Duke out of the question, while giving Berkeley and UCLA a 50-50 chance. Bring up that test score and bring up your chances for admission to all of these schools. Good luck!