Tetris with Card Captor Sakura: Eternal Heart (テトリス with カードキャプターさくら エターナルハート) is the first Tetris game by Arika to be released on a home console. The game lacks a standard mode, and instead plays similarly to the Sega game Flash Point, where the goal is to clear lines containing jeweled blocks as fast as possible. The name and gameplay of this game was carried over to the "Sakura mode" in the Tetris The Grand Master 3: Terror-Instinct Japanese arcade game.
The player can select between Easy and Normal difficulties. Normal gives a 20 minute limit to complete all 18 stages, but stages can be replayed to get a lower completion time, refunding the time difference into the overall time limit. Easy has a flat 3 minute time limit for each stage, but when that time limit runs out, the stage will be cleared and the player may continue to the next stage. Topping out in both difficulties will force the player to restart the stage.
There is also a battle mode, known as "Taisen mode" in the main menu. Gameplay is similar to the VS mode in Tetris The Grand Master, but some pieces will have a jeweled block that can initiate different effects on the opposing player based on the color of the jewel.
Source: Tetris.Wiki, "Tetris with Card Captor Sakura: Eternal Heart", available under the CC-BY-SA License.