The next game in the Nintendo Switch Online NES library is Wario's Woods, where you control Toad and like most Tetris games, you pick up the bombs and monsters and arrange them to match the colour and clear out the playing field.
There is a bar on the screen where Birdo is, when the bar fills up, Wario will take over the screen and can lower the ceiling, which makes things harder, and when the bar runs out again, Birdo will replace Wario.
I feel like Wario's Woods is a bit different to most Tetris-like games, like Dr. Mario and a few others, since you control Toad in this game and pick up the monsters and bombs.