A plane I only occasionally use is a Veritas router plane. Very nice for flattening the bottom of a dado, but also set up so you can use it for inlays. Pix is of the plane, second pix is the inlay attachment. You can set the cutters to any required depth, and there are a variety of sizes Sharpening is a bit challenging I also love how nice it looks.
When you inspect the inlay kit, you see that you can use parallel cutters, set to whatever depth you want for vines and narrow strips, or use the single cutter for larger shapes.
But I use the rabbet plane far more often. My plane allows removing the front so turn it into a chisel plane, very handy for fixing measuring errors on picture frames.