Lucky for you I have been down this rabbit hole and search to the depths of Google far beyond I ever imagined.😁 I have found a whole bunch of solutions for your exact needs. However I am going to list all the ones I have found and you can pick out which one you feel is best for you. The one I like the most out of all of them is a company from Europe that will custom make exactly what you want based upon your needs. Rather than try and fit in your requirements to a pre-made box you have a box made for your requirements.
This was the first stage of a setup for me and now I am looking for a digital version that will run USB to a USB switcher source and that is a whole another mess I am running into but that is a whole nother set of problems for me.
#1 Choice, they will build whatever you needTake a look around at site it's pretty fun their products.https://vintagemaker.net/
A lot of these are XLR but you can get component or RCA to XLR cables and I suggest to use Amazon and don't pay for anything expensive as it will not make the quality any better.
#2 LinkBone 8×8 Matrix XLR switch
#3 Black Lion Audio PBR XLR Patchbay\
#5 Kramer VS-4X 4x1 Balanced Stereo Audio Switcher (XLR)
#6 XMSJSIY 6.35mm/3.5mm Audio Selector Switcher 6-in-1-out
#7 Nobsound 3-IN-1-OUT XLR Audio Switch