What is a great budget camera similar to the Canon 80D for photos and videos ?
Here's how to find the camera for you. I'd first start off by going to either adorama.com or bhphotovideo.com and get a list of all DSLRs within the price range of the 80D. Here's a link to B&H showing all DSLRs (body only - no lens) that are within the price range of the 80D: https://www.bhphotovideo.com/c/search?ci=6222&N=4288586280&mnp=800&mxp=1000 The first thing that I see is that the Canon 6D is in this list. Because it's a full-frame camera, I would strongly recommend this camera to be on your short list. There are other cameras like those from Nikon and Pentax which are pretty good cameras. The Pentax K-70 is probably the best APS-C format camera in your price range. The Pentax K-70 offers features and capabilities not found on any other brand of DSLR such as in-body image stabilization (IBIS). IBIS means that any lens you use, including old vintage lens from the 60s/70s will still be stabilized because it's the sensor that's moving and not some lens elements. Another benefit of a IBIS is that you don't need extra lens elements like you do with in-lens stabilization systems like the ones used by Canon or Nikon. Fewer lens elements means a sharper, less expensive and lighter lens. For example, the new $2600 Nikon 24-70 f/2.8 with VR (vibration reduction) is $600 more expensive than Nikon's 24-70 f/2.8 without VR; AND IT'S NOT AS SHARP! The only down side to both Nikon and Pentax is that their video performance isn't as good as the 80D. So you have to decide if you really need video on a regular basis or not. If you do, then I'd go with either the 80D or the 6D. You don't mention if you already have a DSLR with APS-C format lenses or not. If you do, then none of your EF-S lenses will be compatible with any of Canon's full-frame bodies; the lens will simply not mount onto any FF body. Because the 6D is full frame, you now have the option of using high-quality ultra-wide lenses where with APS-C format camera, you don't have any ultra-wide lenses to choose from that are of excellent (i.e. professional) quality; you're limited to consumer-grade lenses like the 10-22mm zoom. Once you've narrowed your list down to a few bodies that are in your price range, go to dpreview.com and check out their comparison list. Here's a link: https://www.dpreview.com/products/compare/side-by-side?products=canon_eos80d&products=canon_eos6d&products=canon_eos6dmkii&products=pentax_k70 Dpreview has a web-app that allows you to compare the ISO performance of these cameras: https://www.dpreview.com/reviews/image-comparison?attr18=daylight&attr13_0=canon_eos80d&attr13_1=canon_eos6d&attr13_2=canon_eos6dmkii&attr13_3=pentax_k70&attr15_0=raw&attr15_1=raw&attr15_2=raw&attr15_3=raw&attr16_0=3200&attr16_1=3200&attr16_2=3200&attr16_3=3200&attr126_3=1&normalization=full&widget=1&x=0.2229133226324236&y=1.0286703819950296 As you can see the full-frame 6D really provides you with an advantage here. You should also be aware of the Pentax K-70's Pixel Shift mode where it takes multiple shots moving the sensor 1 pixel between each shot. The K-70 then combines these shots into one image with increased color quality and sharpness. So if still life or landscapes are you thing, then K-70 is likely to still be the best camera for you, but only if you don't care about using high-ISO settings like 6,400 and above. But then again, a lot of the noise can be removed in post anyway. So it's a bit of compromise between the features of these cameras. If video is very important to you, I'd still go with the 6D.
The Canon 70D is the preceding model. I have one - it is a very good camera