If your budget is tight, then there's no better option than the ASUS VivoBook 15, but if you can spare an extra $100, then definitely buy the Acer Nitro 5. You can always add an external hard drive to host your other files and use the SSD for your favorite games only.
However, if you want a big HDD, then opt for the ASUS FX503VD, which is quite expensive for a laptop, but not too expensive for a gaming laptop. As a result, you will have both 1 TB of disk space as well as excellent performance. Not a bad deal for getting something for back to school and gaming.
Remember: budget doesn't necessarily mean cheap!
That is all for the best current budget gaming laptops of 2018, but be sure to check out other shopping guides here at GameSkinny: