Here are a few options in your price range. They all have 1080p resolution screens and a DVD drive.
Acer Aspire E 15 for $600. Quad core i5-8250u CPU, 1080p screen, 256GB SSD and nVidia mx150 graphics card which provides decent performance for playing games on lower setting if that is one of the purpose for the laptop. Much more powerful than integrated graphics, but the mx150 is not considered to be a gaming graphics chip. The i5-8250u is an 8th generation Intel CPU and represents the 1st time a "u" model CPU (ultra low voltage) has 4 cores instead of two cores. According to comments, this has a backlit keyboard...