Also note that the stabilization in both the G7 and NX500 is lens based. i.e. you need to make sure the lens you use has stabilization built-in (not all Pany lenses do, I don't know about Samy).
I also don't think the NX500 has an external mic jack.
I point this out because I think you're going to have to compromise somewhere, and I think your two best compromises are:
Panasonic LX100 which has stabilization and a lens that's good for indoor/low light parties, but no mic jack.
Olympus E-M5 (original) which has come down far enough in price now that the Mark II is out (B&H has it for $500) that you can add a 25mm f1.8 lens and SEMA-1 mic adapter within your $1,000 budget. This will give you 5-axis IBIS (In Body Image Stabilization), good indoor/low light performance, and a mic input, but not 4k video.
Having said all of that, I still believe most people would be better off shooting video on a dedicated video camera.
I would like to know what is the best mirrorless camera under $1000 that can shoot a good quality 1080p or 4K videos. And I would like it to be equipped with:
1 - Image stabilization.
2- Comes with a kit len.
3- Good for low light video shooting.
4- Microphone jack.
5- As mentioned above, no more than $1000.
Right now, the most obvious options are the Panasonic G7, Samsung NX500 and Sony a6000 (without a kit lens..). I'm mostly interested in shooting in low light and indoor parties videos. Btw I have a Nikon D3200, which is good for stills but really bad at shooting videos, and to me, dslrs are quite bulky to shoot video with.
So what do you suggest?
Thanks a lot!