The full service domestic airlines are Thai, Bangkok Airways and PB Air
One-2-Go is a discount airline but does provide better advantages than the other more 'budget carriers
Budget carriers are Thai Air Asia and Nok Air
Nok Air has a premium service with 30 kg baggage and inflight snacks, they have 2 x 2 seating on 737's, these aircraft are ex Thai and they kept the same business class seats, it's only about USD 12.50 each way on top of the budget fare, so quite a bargain.
http://www.beachsiam.com/thailand.html has a list of all the domestic airlines and where they fly and links to their websites, quite handy.