I’ve found numbeo to be practically useless for most cities I’ve been to and stayed. MITs calculator is much more accurate, especially if you are someone who doesn’t earn a high wage.
Most people aren’t going to stay in Greenwich village/SOHO/UES if they are in NY, or similar elsewhere. Prices reflected in the MIT calculator seem to take all areas of living into account, that too by county.
Edit: Numbers on numbeo seem to have improved a lot since the last time I saw them. Taking back my previous opinion, but I find both to be useful resources.