I really like the idea of a daily quest. I like even better that non-members can participate in the dailies and get the quest rewards.
If you don't know yet, there are seven new quests given on each day of the week. Go to Valencia in Battleon (one screen up from the main screen) to get the daily quest. The quest is to get a "Rare Unidentified Weapon" (RUW) drop from the Red Dragon. Turn in the RUW to get the quest reward. The drop rate is really good: 80% according to Valencia.
For Friday and Saturday the quest was to kill the Red Dragon. Hopefully other monster will be used to add some spice.