The achievement system is pretty new. Something like in the last 2 months or so. It's not really comparable to dailies, and I think global will eventually get it too. Also, the super honor summon rates aren't always up. They've been gone for a few weeks now, but just started up again.
There are some other difference though, like being able to pay 3 keys for a super metal parade and that they have imp parades. There's the slot machine (can get basically all the good stuff from SHS; crystals, gods, jewel stuff, imps burst and sphere frogs, plus imps). The slot machine is heavily tied into raids though, as you get the tokens from raids (and they giveaway what seems like 100 coins a month or so). The slots cost 3 coins per try. There's quite a bit of other stuff that I can't even figure out what it is. There's a few extra buttons on the Imperial City screen which have popped up in the last month. The biggest difference to me is in what Alim gives in the gift box though. Right now we're midway through the 80+ gem giveaway, but you also get inundated with frogs, imps, and crystals. They have an interesting system where you can input promo codes all the time for more free shit. I've been able to get a massive amount of zel from this, as well as max out most of my units.
I'm hoping some of the smaller changes come soon. Stuff like how they made Dark/Light totem dungeons permanent on totem day. There's no reason for them to be rare.
I actually think the rates on global are better than JP. I've seen lots of people complain about this one. It sounds like you just had much better luck. There is a big difference here though, and that's that JP almost always runs a "summon x times, get a unit free" type of thing. It's usually every 5 summons, but sometimes 10. Gumi has started this with their exclusive units (Tridon and Ultor had it after 10). I've got plenty of old terrible units that I've summoned on JP though.
Example being during the dark rate up, where I was hoping for Kuda or Elza; I believe I got Alice, Dilias, Lich, Zephyr, Borgeous, and Kajah from that one. The free unit was either Lich or Dilias. That's pretty fucking terrible.
All in all though I think I've done 35 summons (including free ones). I've got a lot of strong units to work with, including Arus, Darvanshel, Lancia (only healer), Kuhla, Rosetta (new earth unit; Deemo LS + Elza, but higher %), Lucca, Ragshelm, Orna, Deemo (not RS), Borgeous, Lilly, Ardin, and Hikaru (new dark unit). Once I evolve my Darvanshel, Lancia, Lilly, and Arus, I'm going to go ahead and blast Maxwell. Should be cake with 6* Grah friend.