The best projector for projection mapping is the one that is bright enough for your room, sharp enough for your surface, and sits at the right throw distance to fill it. For most home and small-event mapping, that means a 1080p projector in the 2,500–4,000 lumen range with an HDMI input. Everything else is a refinement of those three numbers.
You do not need the most expensive projector on the shelf. You need the one that matches the space you are actually projecting into. This guide walks through the specs that matter, then gives concrete model categories for each budget.