Agreed, anything under $500 USD will not be able to play any mainstream games at 1080p on high, more like low.
Most of these laptops dont even come with 1080p screens because of this, typical resolution is 1366x768.
If your needs are laptop first and gaming second and there is no increasing your budget then you will have to deal with the low end graphics
If your needs are mostly gaming then you need to find a way to increase your budget because you cant just upgrade a CPU or GPU in a laptop.