I quite like Destiny. But I love Saints Row 4. Destiny is a bit serious for me, with a portentous narrative about "The Collapse" and ancient warlike races with mythical pasts of great mystery. Or somesuch. But Saints Row 4 is just crackers. Destiny is very worthy, but it hasn't made me laugh out loud once. But the presidential press conference right at the start of Saints Row 4 had me chuckling all the way to the alien invasion which takes place shortly after.
After the aliens arrive you get dumped into some deeply silly simulated worlds for no particular reason which is good for two reasons. Firstly you can lay waste to lots of people and buildings and stuff without worrying too much because none of it is real. And secondly you can break all laws of physics in increasingly outlandish ways.
It reminds me a lot of a game called Crackdown that I played on the Xbox 360 many years ago. It's a bit like Grand Theft auto, but after you've been eating some really strong cheese.
I'm only 9% or so through the game at the moment, but I'm having a blast. The graphics aren't as good as Destiny, the game is supposed to be glitchy (but I've not seen this), and I guess that for long term appeal it won't be as good. But I don't care about any of that. It's just more fun.
FYI I'm playing the PS4 version of the game that I arranged to have as a Valentines Day present. Which has turned out rather well. I've not played any of the previous versions of the game. The word on the street is that if you've played any of the other editions you might not get as much out of this version, but if you haven't tangled with the franchise before, you're in for a treat.