i got 516 marks in general category...i am form Rajasthan...can i get good private college outside Rajasthan?

Dear aspirant
At first congratulations for your result and best wishes for your future. Outside Rajasthan means you want medical colleges through All India category .
Analysing cut off and opening and closing rank trends of previous years I am afraid to inform you that you may not get any seat for MBBS in government medical colleges through All India counselling  . As the competitions are very high and seats are very less it is often seen that a good student despite of scoring good marks fail to get a seat. Well you have mentioned your state Rajasthan. You must opt for  Rajasthan state counseling . some of those are

American International Institute of Medical Sciences Udaipur
Government Medical College, Barmer
Mahatma Gandhi Medical College & Hospital,Sitapura, JaipurGovernment Medical College,
DungarpuGovernment Medical College, Churu
National Institute of Medical Science & Research, Jaipur
Jaipur National University Institute for Medical Sciences & Research Centre,
JaipurGeetanjali Medical College
Ananta Institute of Medical Sciences and Research Centre RajsamandGovernment Medical College,
DungarpuMahatma Gandhi Medical College & Hospital,Sitapura, Jaipur

check here for details

https://medicine.careers360.com/articles/neet-cutoff-rajasthan/amp

predict your chances here

https://medicine.careers360.com/articles/neet-cut-off-for-government-colleges

https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer
Best Wishes.