What's a Good Budget Alternative to the 9060XT 16GB GPU?

You might want to consider the 9060XT 8GB variant; that should save you a good chunk of change. Another option is the RTX 5060 (just the standard, not the Ti version).

The ARC B580 is around 100 euros cheaper where I am, and it holds up well with 12GB of VRAM, which is decent for most games.

Don't forget about the RX 6800 and RX 6700 XT if VRAM is important to you. They're pretty decent options to consider too.

There's also the RTX 3070 and RTX 2080 Ti available on the used market. They might be a bit older, but they can offer solid performance for less.

If you need to significantly cut costs, I'd recommend looking into the 3060 12GB. Most other alternatives only save you about 30 to 50 dollars.