There is no book with special preference to just AIIMS. The only book which is most important is NCERT specially for Biology.

For other two subjects, I would recommend you to do Engineering level MCQs JEE Mains level at least because of higher conceptual questions asked in AIIMS. Arihant or DC Pandey I may suggest.

Along with that, try taking mock tests online or offline based on AIIMS pattern to know your preparation status.

For 2nd part of question, I guess you are asking which college is comparable to AIIMS in South. It’s JIPMER.