I tried to ponder something positive related to daily activities without making any difference between them. So if I answer to the original question what is my favourite daily, I guess the answer is still that there ain't one, however, I have something else in my mind. I have a long experience history from MMORPGs and I have seen a lot of different kind of daily activities, dailies or daily quests in use. Furthermore, I have done some research related to cultural history of digital gaming and I have collide to several articles and forum post where players are unhappy with daily activities (especially daily quests) and how those slowly kills the fun from the playing. So I base my arguments for these reasons. Even I do not have a personal favorite daily activity or daily quest I would say that the best ones are those which are necessary from economical point of view or those which are needed to pace the character progression, e.g. farming and crafting.
I suggest developers (in general) to use any daily activities or daily quests as less as possible, just use those which are necessary, and focus to polish the actual content and offer players a wide range of different activities to play with. People will login daily basis without a massive number of hooks if they just like the game and they have enough appealing things to do. Okay, lets put that aside and lets move on the actual suggestions.
When using daily timers I want the developers to really consider the precise time what should be used. This of course varies depending of the situation but I will use Albion Online's farming system as an example. I remember how growing crops was first set on 24h timer from the point when you put the seed on the ground. This lead to a problem that every day your farming activity went later unless you totally missed one day. I presume this caused a good amount of negative feedback from players and at the moment the timer is set to 22h, and that really feels a good change because it gives players a little leeway.
In my opinion weekly and monthly login bonuses are a much better hooks than dailies. Those gives players more freedom to plan and choose when they want to play and those are not getting boring as fast as daily login hooks. When I recently went back to Albion I instantly noticed that there was a daily, weekly and monthly rewards based on the players activities. The daily bonus is negligible and a totally whatever if you get that or not. However, those weekly and monthly chests contain significant rewards of items and money. The beauty of this system is that you can collect fame (exp) from any activity of the game and all those will account. So you can e.g. farm, craft, gather, refine, run dungeons or kill other players, and everytime you collect fame to those pools. It also seams that the limits are set quite easily achieveable so it surely encourages all players to play the game but it does not limit you anyway and you can do what ever you want to and still get the reward. This is a really good system and I do not have anything negative to say about it, at least at the moment.
I guess Albion is a good example because it is a very similar game and if I remember right the developers in Dynamight Studios are mentioned Albion as one of their paragons. So I guess it would be smart to follow which kind of improvements SBI does and at least try to avoid to make same mistakes. @Whisper I hope this post gives more to your original question or at least it is best what you can get from a player who has tired to run in daily rat race.