B4nd-c4
It definitely feels like chess, but, like shogi, it is still something very different. Very orthogonal, a lot of limitation in movement, but interesting in its own right. Most interesting are the cannon pieces, but you are already familiar with them because we used them in my Ito Shogi game. If we like it, we could move on to Korean chess, which is similar to Chinese chess, but with fewer restrictions and different cannons.