Need quick options bying

Solution
There isn't one. Not for a laptop. Gaming is all about the gpu, it's got to be strong enough to put the frames on the screen. It's also going to need some serious cpu horsepower, good battery life, fast ssd storage etc. Suitable for gaming laptops run $1k and up, @$1600-$1700 for the better ones.

You can go much cheaper on a laptop, but the graphics will be seriously downgraded, mostly having no gpu at all, just the basic igpu, which is in itself pretty weak for graphics due to wattage restrictions. Desktop gpus regularly go beyond 200w for top line cards, laptops are lucky to see 25w. It's a heat issue.
There isn't one. Not for a laptop. Gaming is all about the gpu, it's got to be strong enough to put the frames on the screen. It's also going to need some serious cpu horsepower, good battery life, fast ssd storage etc. Suitable for gaming laptops run $1k and up, @$1600-$1700 for the better ones.

You can go much cheaper on a laptop, but the graphics will be seriously downgraded, mostly having no gpu at all, just the basic igpu, which is in itself pretty weak for graphics due to wattage restrictions. Desktop gpus regularly go beyond 200w for top line cards, laptops are lucky to see 25w. It's a heat issue.
 
Solution
https://www.amazon.co.uk/Dell-Inspiron-Laptop-Pentium-Windows/dp/B01N7P3QFL/ref=sr_1_12?ie=UTF8&qid=1520987647&sr=8-12

Here is a laptop for $500, as you see it has a weak CPU and a really bad GPU (Intel HD Graphics), like Karadjgne said, you won't get a gaming laptop in that budget, you will have to spend double that to just get a GPU in a laptop, triple the price to get good performance from gaming laptops so i'd recommend saving some money up and buy some desktop parts, if you really wish to have a laptop then you'll have to save more money as laptops costs more.

If you're desperate to get a new laptop now then sorry however you won't get any good performance from a $500 laptop. The best you can run is Roblox/Minecraft which im guessing is not what you wish to play. Saving up money is your best option here.