The Mac Studio randomly turns off the display of one screen.

'different cables' is a check against cables that are broken. What many users are discovering is that their assumptions about 'which cables are good enough' do not work at high resolutions and refresh rates.

For HDMI cables, there is a huge change in technology at higher than 4K at 60 Hz. Above that, certified cables labeled "ULTRA" or "48K" are required.

for USB cables, length should be 1 meter or shorter.

for Thunderbolt cables, lengths should generally be 0.5 meters or shorter. There is an Apple super-engineered 0.8 meter cable that also works. Thunderbolt-5 cables provide NO data rates advantage and do not get around the length limits.

what exact make&model displays are using, and what cables, adapters and docks are in the data stream?

the Eizo FlexScan L568 Appears to be a 1920 by 1200 display with DisplayPort, DVI, and analog VGA (D-sub) inputs.

adapter/cables from USB should have the USB section of the cable strictly limited to one meter or less.

for DisplayPort, the DisplayPort section of the cable should also be limited to one meter or less.

for DVI or HDMI, that portion of the cable does not have strong length limitations as long as resolutions are 4K at 30 Hz or less.

the Eizo FlexScan S1921 appears to be a 1280 by 1024 display with DVI and analog VGA inputs.

for DVI or HDMI, that portion of the cable does not have strong length limitations as long as resolutions are 4K at 30 Hz or less.

Your Mac Studio M1 from 2021 or later features HDMI 2.0, whose Direct HDMI port can run up to 4K at 60 Hz for HDMI or DVI, provided high quality certified "Premium" or "Ultra" cables are used at highest resolutions.

these cables are not strongly length-limited when used with HDMI 2.0.

The Eizo FlexScan L568 appears to be a 1280 by 1024 display with DVI and Analog VGA inputs.

for DVI or HDMI, that portion of the cable does not have strong length limitations as long as resolutions are 4K at 30 Hz or less.

if you are meeting all those length limits, consider the possibility that the adapter may have failed.

The video capabilities for your Mac are excellent.

The problem is in the many converters and adapters and cables required, and Apple's failure to spell out EXACTLY how long these cables should be, but insisting that cables that make errors will cause the display to drop out.

4K at 60 Hz is the upper limit for HDMI 2.0. (beyond that HDMI changes completely.)

So sorry, 4K at 30 Hz was not intended to be a recommendation, that was my error. I intended to change that to read 4K at 60 Hz but the change got lost.

This cable: "USB-C to DisplayPort cable from the brand KabelDirekt (2 m – USB-C to DisplayPort adapter cable" is too long for reliable operation, and should be replaced with a shorter cable or a different solution.

For DVI, you can buy a simple "just wires" converter or converter cable HDMI <-> DVI as long as you stay below the limit for direct conversion from HDMI, which is 1920 wide (or HD, or 4K at 60 Hz).

There is no Master List that I know about. The market is chaotic because manufacturers do not deeply understand what they are selling, and it is mostly modern Macs that are saying NO to data attenuation errors on long cables.

The length of the cables must be shorter to meet the standards for TOP SPEED transmission on these cables, and that means one meter or shorter for the USB-C and/or DisplayPort portions of the cable.

0.9 meter version -- YES.

1.8 meter version -- NO