Upscaler is the correct term. If you are looking for the best possible image to recreate a CRT, the retrotink 4k is the best option. It will require a good TV though, something like a LG C4. The reason being to get good looking scanlines, you need 4k, 120hz, and vrr.
The retrotink 4k also supports all your inputs (Xbox 360 HDMI, n64 s-video, snes rgb, PS2 component, etc...).
Here is a good video why the 120hz is important for recreating the crt feel (a little old and retrotink 4k has only gotten better since then) https://youtu.be/3ZmPkozY6Cg
You other options for a good scaler are the Morph 4K and the ossc pro. This spreadsheet has a good in depth comparison between all three https://docs.google.com/spreadsheets/d/16FBPBD3A1vN_khznTUO1bGrb3LxTIQXfwWfusPeNSsw/edit?usp=drivesdk