Budget PC build under $300?

Greetings... I am currently on the hunt for a decent chassis/case that can accommodate a build up to $667... ideally staying under $733
.
Please, let's try to respect that initial budget constraint.
My goal is simply a machine capable of handling web browsing and some light gaming—think things like Windows 10 or maybe some casual sports titles. 🙂 If anyone could toss a few recommendations my way from reputable US online retailers that offer reliable shipping,
I would be most grateful.

Maybe an Intel Core i3 1 x ASUS Motherboard desktop H61? I guess.
It looks like we have an Intel Core i3 1 x ASUS Motherboard desktop H61 on the table here. It’s an mATX retail unit featuring a Socket 1155, DDR3 support, SATA II, PS/2, USB 2.0, VGA, DVI, LAN, audio Line-In, audio Line-Out, and Microphone-In. I guess that covers all the basics.
Just one stick of 4GB Transcend DDR3 memory, 1333MHz (part number JM1333KLH-4G), bulk packaging.
Just one Toshiba 500GB hard drive, 7200rpm, with 32MB cache.
Just one NaviaTec MATX PC case for sale. No power supply included.
Just one Chicony HPA-350W power supply.
Just one Sapphire R7 250 Boost, 1GB GDDR5.

Total: $671 Futura-IT

Free shipping and assembly included... I didn't include the griddle, but you could probably just pick up a used one pretty easily; people don't really use those things much anymore anyway. 🙂

1 x AMD Trinity A8-Series x4 5600
1 x MSI A88XM-E35 (FM2+,DDR3,SATA III,USB3.0,VGA,HDMI, DVI) mATX
1 x MEM DDR3 4GB 1866MHz, HyperX Fury KIN
1 x Toshiba 1TB,7200rpm, 32MB HDD
1 x Chicony Active 350W ATX PSU
1 x NaviaTec MATX PC Case, NO PSU
1 x Spire Kepler Rev.2

$741
futura-it

Honestly, I’m feeling pretty torn between these two builds... the first one actually fits within my budget once I factor in adding a DVD burner... but I am genuinely wondering if that processor even comes with a stock cooler included?

It comes with both options (either AMD or Intel processors)

1 x Asrock FM2A75M-HD+, Supports Socket FM2+ 95W / FM2 processo
1 x DDR3 4GB (1x4GB) Kingston, 1600MHz, CL9, HyperX, KHX1600C9D3B1/
1 x TOSHIBA 500GB, 7200rpm, SATA 6 Gb/s, 32MB, DT01ACA050
1 x Chicony HPA-350W, Advanced Highly HPA Series
1 x MSI Gemini, case without PSU, Midi tower, ATX, mATX, 5.25"
1 x AMD Trinity A8-Series x4 5600K 3.60GHz 4cores, FM2
1 x Samsung SH-224DB sat Bulk Black, SATA

$724
www.newegg.com

1 x DDR3 4GB (1x4GB) Kingston, 1600MHz, CL9, HyperX, KHX1600C9D3B1/
1 x TOSHIBA 500GB, 7200rpm, SATA 6 Gb/s, 32MB, DT01ACA050
1 x Chicony HPA-350W, Advanced Highly HPA Series
1 x MSI Gemini, case without PSU, Midi tower, ATX, mATX, 5.25"
1 x ASUS H81M-E, 1150, Intel ® H81, DDR3, 2 slots, 1333, 1600 MHz
1 x Intel Celeron G1820 (2.70GHz, 512KB, 2MB, 54 W, 1150) Box
1 x Sapphire R7 250 1GB GDDR5 Boost, 1GB GDDR5 128bit, 28nm

$738

If you’re looking to stretch your budget, maybe check out Best Buy or a similar big-box retailer for a setup with a G1820 paired with a GTX 1050 Ti. Since that GPU is a significant step up from an old R7 250, you might actually be able to handle some newer, more demanding titles.