9 tail fox (based on ranking and final kill)
group wheel
getting 1st in group trail ranking
various events (duh)
ptw (montly card, lucky spin, etc)
reaching new height on ranked
reaching new rank in arena
various sub-plot missions(collect summon, ninja, full star clear chapter etc)
wishing tree

all i can think of off the top of my head

Usually, no.
The group trial teamed version have a ranking for EACH of its possible variations (which is 2 for the low level one and about 5 for the high level one).
You get on there if and only if your team of 3 complete all 3 stage of the trial.
If your team is the first one to complete it, you and members of your team are 1st place automatically, and get a ONE TIME reward.
If any team, including your own team (with or without different members) surpasses the performance of the current first place by any of: completing a higher difficulty, same difficulty but less amount of rounds, same difficulty&round but less casualty, that team will take 1st place instead and get a ONE TIME reward. For any player who is both on the new and the previous 1st place team, this reward is reduced, but it will be there.
So generally speaking, no, you can't get this every day. However, you can get it many many times, if you can control rounds and casualty perfectly....
You can have 0 to 11 casualty, times 3 to 20 rounds (I believe 20 round is cap, not 100%, 3 is minimal due to 3 stages), so in theory, the record can be refreshed 216 times per star, and if you do 1 to 5 star, you can farm it for 3 years per instance, with the variations... yeah, in theory everyday.

But that's hardly realistic, I think per server per instance, only around 10-15 are handed out, so maybe about 100 or so total.