Uh...I actually thought that with VGA you had much better cards than having like a signal from an old console. Didn't expect it to be that complicated and costly.
So let me summarize and correct me if I am wrong here:
Basically you have VGA->DVI->HDMI, but any of the step can potentially jumped over.
Option A: You have a VGA Output
A: Solution 1:
You have an OSSC (like this OSSC from TANOU) which turns it into HDMI (91€)
Then you put the HDMI into a normal capture device like the Elgato Cam Link 4K (124€)
Total: 215€
Quality: It's okish but has artefacts and isn't 100% (If I understand Darry correctly)
EDIT Dec 2022: This is not going to work as darry pointed out. OSSC does not reduce refresh rate to 60Hz
A: Solution 2:
A passive adapter changing VGA to DVI (3€ on Ebay)
DATAPATH VisionRGB-E1S which has a DVI in but also captures VGA via a passive adapter. (Ebay: $99,99 Price+$22,61 Shipping + 31,18$ for customs, making a 153,78$ total = 131,65€)
Total: 134,65€
Quality: Best possible quality
EDIT Dec 2022: These became very rare. Prices are usually around several hundred Euros/USD now. Or 1000+€ for a new one
A: Solution 3:
You go super cheap and buy a direct VGA to HDMI converter like this (15€)
Then you put the HDMI into a normal capture device like the Elgato Cam Link 4K (124€)
Total: 139€
Quality: Unknown
EDIT Dec 2022: Just for completeness, mentioning here as well, that it will not work due to still being at 70Hz.
A: Solution 4:
You go all out and buy the AV.io HD recorder which plugs into VGA and DVI via included adapter and outputs as USB(400€+23€ Shipping)
Total: 423€
Quality: Excellent (according to LGR)
Option B: You have a DVI Output
(is there actually any graphics card which has DVI and runs fine under DOS 6.22?)
B: Solution 1:
You can record this via the DVI directly using DATAPATH VisionRGB-E1S which has a DVI in. (Ebay: $99,99 Price+$22,61 Shipping + 31,18$ for customs, making a 153,78$ total = 131,65€)
Total: 132€
Quality: Might have resolution issues
B: Solution 2:
You convert the DVI into HDMI using a simple converter like this (7€)
You record this now via a normal capture device like the Elgato Cam Link 4K (124€)
Total: 131€
Quality: Unknown
B: Solution 3 (same as A: Solution 4)
You go all out and buy the AV.io HD recorder which plugs into VGA and DVI via included adapter and outputs as USB(400€+23€ Shipping)
Total: 423€
Quality: Excellent (according to LGR)
Besides of that USB device Epiphan also offers an internal recording tool which takes all signals: Epiphan DVI2PCIe Duo but with 1200€ I guess it's a tad expensive for this list of viable options.