Frogs, yes--but not all are not community friendly. The Clawed African frogs get up to about 6 inches and are completely aquatic. However, they will eat any fish they can catch and fit in their mouths, and those claws are not just for show--even large, armoured fish can be injured. Dwarf african frogs can go in community setups, but special attention is required to ensure they get enough to eat, as they are not aggressive and can be easily out-competed for food by fast fish. There's an excellent article on the dwarf frogs by Leopardess in the Article section.
For salamanders: adults, no. The axolotyl is the juvenile form of salamanders. In some cases, they will retain this form for their entire lives, never morphing into the adult form. However, they are aggressive predators, and do not belong in a community setup. Axolotyl's are widely available in the science trade, but most that I've seen offered at pet stores are juvenile tiger salamanders and will eventually need a terrarium setup.