Arctic Liquid Freezer III 360 is the best choice.

Ive spent way too much time testing these things over the years and honestly for a 5800X3D you need to focus on fan efficiency because of those sudden temp spikes. If you want dead silent you should look at the Phanteks Glacier One 360 T30 Gen2. The T30 fans are 30mm thick instead of the standard 25mm so they move way more air at lower RPMs... basically you get the same cooling at 900 RPM that other fans need 1300 RPM to hit. Thats a massive difference in decibels. Another solid shout is the EKWB EK-Nucleus AIO CR360 Dark. The pump on this one is incredibly smooth and doesnt have that annoying high-pitched hum that some of the older Asetek units have. Ive found that running the pump at about 70 percent speed is the sweet spot where its basically inaudible but still keeps the loop moving fast enough to soak up those 3D V-Cache heat bursts. Just check your case clearance for the Phanteks fans though cuz they are chunky.

Tbh if you really want that near-silent setup your gonna have to look at the fans more than just the actual AIO unit itself. I went with the be quiet! Silent Loop 2 360mm and its been pretty solid for my 5800X3D. The pump is actually adjustable which is a huge deal - you can DIY your own pump curve in the BIOS so it doesnt whine when the system is idling. If you find the stock fans are still a bit too loud - which happens even with high end stuff sometimes - you can always just swap them out. Its a super easy self-service upgrade. I ended up putting some Noctua NF-A12x25 PWM fans on mine and now I barely hear it even under load. The 5800X3D is weirdly hot because of that cache layer but you dont need the fans spinning at 2000 RPM to keep it stable. Just gotta make sure you seat the block right and maybe use a decent paste like Thermal Grizzly Kryonaut. Basically dont be afraid to tweak the settings yourself. A lot of people just plug it in and let it run full blast but taking ten minutes to set a custom curve makes a massive difference for noise pollution. Its kinda the best way to get exactly what you want out of your build.

Commenting to find later

Building on the earlier suggestion about the fans, I really wish I had known that before I sank a bunch of money into my current setup. I bought a pretty expensive unit thinking it would be dead silent, but unfortunately it was a total letdown right out of the box. The pump whine was especially bad, and the default fan curves were just all over the place. Here is what I learned from that annoying process:

• Case resonance is a huge factor that nobody mentions.
• Those fancy RGB fans that come with most units usually prioritize looks over actual noise-to-performance ratios.
• Manually undervolting the CPU was actually more effective for noise than the cooler itself. I basically had to rebuild the whole mounting setup with some rubber dampeners I found just to stop the vibration. It took forever to get it right. Honestly, it is kinda disappointing that you spend that much and still have to go full DIY just to get some peace and quiet while gaming... it definitely wasnt the smooth experience I was hoping for.

Arctic Liquid Freezer III series (240/360mm) are popular for low noise and great performance.

Corsair iCUE H150i Elite CAPELLIX XT.