I'd suggest something with auto bed levelling at a minimum.
For a "just works" experience, you could consider the Bambulab A1 (not the Mini), although it is a proprietary design and only just exceeds the 500€/$ budget. At an additional cost, you can purchase the "AMS" which allows printing in 4 different colours.
Alternatively there's the Creality ender 3 v3 SE and KE editions which come in at about half your budget. These use a pretty common 3D printer design and it's fairly cheap to get spare parts or upgrades if desired. If going this route, I would personally lean towards the "KE" because it uses the open source Klipper firmware
There are a lot of Ender models available, please be cautious of the older ones and the cheap ones on Amazon as they are not the same thing - most of those have manual bed levelling and hit-or-miss quality control, which can make printing a little bit of a pain out-of-the-box for a beginner IMO...
As for me personally, I got my first 3D printer secondhand for the equivalent of €100 - it's a Delta style printer by FLSun and works great for me, however I did binge hours of 3D printing videos to familiarize myself with things just in-case the used printer arrived broken (thankfully it didn't, it printed fine OOTB!)