From Aeria Browser Wiki
Daily tasks are tasks that you can do every single day because they reappear the next day if you already finish them the day before. This makes daily tasks the majority of the tasks you will do in this game. They run the gambit of number of sport/league/couple fights completed/won to doing boatyard scenes (if you are still within a certain level range) to getting legendary coins by using certain item cards in battle x amount of times. Tasks that say League in parenthesis are tasks that give leagues wealth by completing them and are an important task to do if you are in a league.
If you notice in the image above there is a daily task in blue letters. if you are lucky to get a task in blue it gives you a bonus to the normal rewards. This can include more exp, gold, vouchers, medals and/or whatever else is listed as a reward for that quest.