The daily quests are very focused on colored creature decks. You've got the best chance of completing the quests if your deck contains multi-colored creature spells, and wins by attacking and killing creatures.

Colorless decks, and decks with a non-creature attack win strategy (lose life, direct player damage, mill, poison, and "win the game" conditions) can be played without advancing quests at all. So can decks that put permanents out without casting them.

Please add casting colorless spells, opponents losing life, and other common win conditions to the quests. (If it's a rare win condition, the achievements are enough for it.)