Vaccines typically require years of research before getting approved and being used. As of February 10, 2021 researchers are testing 69 vaccines in clinical trials on humans, and 20 are in the final stages of testing. There are 89 vaccines in preclinical stage and are being active tested in animals. (ref: The New York Times: coronavirus vaccine tracker)

PhaseStatusnumber of vaccines
PHASE 1Vaccines testing safety and dosage37
PHASE 2Vaccines in expanded safety trials27
PHASE 3Vaccines in large-scale efficacy tests20
AUTHORIZEDVaccines in early or  limited use6
APPROVEDVaccines approved for full use4
ABANDONEDVaccines abandoned after trials4
Coronavirus vaccine report- Feb 10 2021

You can read more about the vaccine testing phases in here.

You can read more about leading coronavirus vaccines in here.