I noticed it's impossible to create a 360 degree emission, only directionals.

Using burst theorically would be possible, randomizing the direction but you can't. :(

Am I missing something?

There's no way of doing that at the moment, but I've added it to the suggestions list and I'll get it added in the next update!

Idk if this is going to be relevant at all, my apologies if this is unhelpful.

the closest way I've found to do this is to create a custom emitter material in the shape you are wanting.

In this instance, I just made a circle without a fill, like such. 

which produces results like below.

this app is a good time.

Is there a way to randomize turbulence so that every simulation has different result with moving parameters? Results are very similar for every simulation atm.

If I'm not wrong usually you use a scrolling bitmap  to animate turbulence.

Duration/Loop setting would be cool also :)

I've been tweaking it here and there and a circle spreading (pushing from inside to outside) will need big changes on the code, so I'll add it to the todo list and push it a bit further back in the roadmap, as I do have a couple of things I want to add first (mainly, layers/emitters).

However, I'll add in the next update a direction slider, that combined with the burst slider will allow to do spiral emission, and I'll also add a min/max direction so it can be randomized.

I don't know what you mean by "turbulence", the results of the simulations should be different everytime you hit simulation or records buttons. If that's not enough, there's a "Morph" button on the 'Properties' tab that will slightly alter the properties.

Looping is a whole other beast, some parameters alter the simulation way too much to allow looping. (Set maccormack weight material to 1 for example, there's no way to loop that) but It's something I want to add in the future by disabling certain features so It's doable. I don't know what you mean with "Duration", maybe that's the 'Burst' slider?