you can pursue a paramedical course after completing a BSc in Zoology, chemistry, microbiology. Your background  provides a solid foundation in different subjects which is beneficial in paramedical fields.there is lot of options such as Medical Laboratory Technology (MLT),Radiology and Imaging Technology,Dialysis Technology,Operation Theatre Technology,Emergency Medical Services (EMS) etc.

Infact You can do masters from top renowned universities after completing graduation with these subjects through competitive exams like , CUET-PG , IIT - JAM , GATE , GAT-B etc .