retrocomputing

There are two things to consider:

1. You can get custom stickers. There are lot of suppliers and they are not expensive, even for small quanitities. You can also get stickers to print on your inkjet
2. However: Those logos are not vinyl stickers, they are printed on. You might want to take a look at those transparent transfer stickers people are using for their model planes or research how those custom lego printing places are doing it

https://duckduckgo.com/?q=custom+stickers

If I were doing it, I would try to find someone with a laser cutter, make a stencil of the logo, and use it to apply paint (or fingernail polish) directly to the device. I suppose there might even be a custom stencil service out there somewhere.

You mean a M575S? Because the 585 is just a common mouse. Finding old (obsolete, abandoned) logos as stickers is really hard. The fact that adhesives don't last forever and ink of all sorts will fade in sunlight doesn't help either. You best chance might be to find somebody with screen printing equipment. (Nothing to do with screenshots!) Repair cafes, hacking spaces and the like often have them and many are also offering workshops for very little money. You might even get a small screen printing device (screens, press, roller, paint plus photoreactive paste, more than good enough for stickers) for little money. The printing process for a simple two to four colour logo is ridiculously easy.
Another way is scanning or otherwise acquiring the logos, optionally transforming them to SVG to soften the edges and having a copy shop, repro workshop or print shop print them on adhesive foil. Don't be too cheap or you'll end up with stickers that will drastically fade in realtively short time.