I have been using hostmonster.com

For a small PHP app, they did be great. They have awesome customer support, very friendly, helpful and have been able to take care of my requirements and questions everytime.

Their main(and the only one in my perspective) drawback is they do not provide dedicated servers.

In case you do decide to go for them, do know that you can get one domain free if you take even their basic hosting package.

Btw, they have unlimited dbs/tables, unlimited domain hostings on a single account (but only one https per account) also.