I personally prefer Hyperolius, Agalychnis, Phyllomedusa, and small Hylids. All of the above are nocturnal and loud, but the mix of soft burrs and rattles (Agalychnis,Phyllomedusa) soft bells (Phyllomedusa, Hyla) the loud quacks (Hyperolius) and the "bird songs" chirps and "cricket sounds" (Hyperolius,Hyla,Dendrobatidae,Mantella). Hyperolius and some of my Hylids are a bit to loud to try and sleep in the same room though.
Diurnal singing my choice would be leucs, P. lugubris and mantella species. mantellas kinda sound like crickes but are much more adorable. My Hyperolius call day and night in the breeding season. The rest of the above call at dusk and dawn.
I also like to keep bugs and they also have a song to sing crickets(of different kinds), waterboatmen (they rattle) and cicadas. Cicadas dont just have bird songs but they also scream which makes you appreciate the frogs more than before. Some beetles also make noise, Scarabs make reapeted clicking and highpitch rattleing. Bugs complement frogs very well.
The forest are full of frog, bug, monkey, and bird noise. One species in the house wont have the same effect (Although just as satisfying)so the more you have the closer you'll be to that effect.
Ive been keeping frogs since I was 9 and will do so for the rest of my days simply because of their calls and behavior. I just started the whole vivarium theme about 8 months ago and WOW the frogs are so much happier. I did that with my bugs as well and even they have become more active. Emulate nature and youll be rewarded.
So if your looking for sound this is my two cents. Frogs Bugs running water= KickAss