Which one is better? Any response would help.

All you did between the two was spend needlessly on the second most expensive case here.

Neither one is particularly good. For starters, the Intel 10400F is crap compared to the AMD 5600X. The Intel part locks you into the obsolete PCIe Generation 3 bus. The 5600X is Gen 4, which is double the bandwidth.

The GTX 1650 GPU is also pretty lame for frame rates. A 1660 is all of 44% better/faster, and worth the upgrade IMHO. Here's as reasonable a good performer as I can recommend here:

https://www.digitalstorm.com/configurator.asp?id=4013483

The Lynx is the cheapest case, but comes with the RGB fans and internal lighting. You could drop the lighting to save $29.

The 5600X CPU is top-notch for budget gaming and will be fine for several years. 16GB of RAM is a must these days.

The 500GB Digital Storm SSD drive is slower than an NVMe drive, but it is way faster than a mechanical hard drive, and saves some money. The upgrade would be a Samsung 500GB 980 PRO NVMe M.2, for $106.

The 1660 is a budget stretch, but you will be happier gaming on that at 1080p for several years than the 1650. It's worth the extra investment IMHO.

I will not recommend the $1149 "Ready to Ship" pre-built on offer in the Lynx case. It does offer 8 cores, but in the obsolete PCIe Gen 3 series. 8GB of RAM will get you started out of the box, but is not enough going forward. The GTX 1650 is just entry level, and will not keep one happy for long.

Hope it helps.

Cretae gives very good advise. Respectfully, I would not go as far as declaring Gen 3 "obsolete", more like "last gen."  At present Gen 3 is very well entrenched.

Got you. Thanks for the advise.