At this day and age, I can't in good conscience recommend any PC brands.
With a $1000-1500 budget, you really should build your own, or call a local computer shop and have them build one for you. There are dozens of places on the internet where you can spec out exactly what you want, then it's just a matter of ordering the parts and putting it together. If you're a smart shopper, you can save a lot of money...or for the same money, build a monster PC that the name brands can't even come close to.
All the name brands have at least a few proprietary parts, so if something goes wrong, you have to ship it off and wait for several weeks. A DIY project uses all OEM parts, so if something breaks, just order a new one and replace it yourself.