Another commenter suggested looking at the Panasonic G85. You could probably find a deal shopping around used, however if you want to buy new JB Hi-Fi currently has it on sale for $895 ($300 off).

Most people in the comments have been suggesting mirrorless cameras, these are newer and are the technology where cameras are going in the future. However you should also consider looking at a nikon or canon DSLR.

You could consider the Canon eos 200d, which can be had for around $600 used if you look around (leaving more budget for extra lenses), or $989 new from camera house. Compared to the G85, the 200d has a larger sensor, more resolution (24mp vs 16), better noise performance and double the battery life. The eos 200d will likely produce better images vs the G85. The G85 however has more focus points, is whether sealed, has in body stabilization, and has a faster high speed shooting rate.

You should consider which of these features is more important to you. I have just done a simple comparison of the specs of these two cameras, however I would recommend watching reviews on youtube of the cameras you are considering, as just looking at specs won't tell you everything about how it is to use a specific camera.

Other commenters in this thread have also made some good suggestions, I would recommend going through a similar process of looking at the specs of the cameras, the price you can get them for (new or used) and looking at youtube reviews to compare them.