Not that simple. And knowing what types of games you want to play inform the hardware choices.
At $1200 the difference between needing a monitor, mouse, keyboard, operating system, headphones or anything else beyond a basic tower will make for a huge swing in performance.
Doesn't sound like you are interested in building a system either.
If you just want something off the shelf. HP Omen series, MSI, perhaps ASUS are decent places to get computers that you may be able to upgrade/maintain.
There are also dozens of boutique builders out there that charge a hefty premium for basic components like Cyberpower, iBuyPower. Newegg's house brand ABS. NZXT's build service.