I would recommend coturnix/japanese quails. They have a very good egg production and are not hard to tame in my experience. The only downside, they are only supposed to live for a couple of years, though I suppose it depends on how they're cared for and what they're used for (meat, eggs, breeding...).
California or bobwhite quails are also good, however they really need to be raised from chicks to make good pets. They also don't do very well in large groups as they can be quite aggressive so you'd need a huge enclosure.
King quails are very cute, but probably won't be ideal for what you're after as they're very flighty, small and generally not tame.
I have all four species and find them good for different reasons. My californias and bobwhites are more for eye candy, I don't handle them very often. My kings are in pairs for breeding and mostly hands-off admiring. My japs are the ones I hold the most and are also good for breeding. Like you I keep mine for pets and enjoyment more than anything else. Hope this is helpful.