it depends on your requirements.
if you want an Islamic Bank, then you can go to Barwa Bank or Qatar Islamic Bank. they are the best so far.

if a conventional bank is fine, i suggest you go to Commercial Bank. they have branches in almost all the malls and even other branches spread arround Doha and open until late like 09:00 pm. so you dont have to leave your work to do a transaction or apply for a credit card.

you have also to make sure that your company is approved in the bank that you are going to join. so in case you want a vehacile loan or personal loan, you will get it. otherwise they will not finance you.

At Last: Avoid IBQ. i have tried this bank and oh my god. their service is so slow and they did several mistakes with my Car Loan. Branches opens only 2 days during the week at night.

thats my advise.