I like to come up with headcanons for what the titans would think about the mortal practices and causes that developed on Azeroth in their absence. Here’s what I got:
Titan Approval: Cenarion Circle, Earthen Ring and Knights of the Silver Hand
I’m going to discuss shamans and druids together since collectively they’re biggest enforcers of Order on Azeroth. Which I know is a spicy take to the people who just glance at the cosmology chart, see Order being next to arcane and think that’s all they need to know. 
The process of ordering is seeding life across a world using the Emerald Dream as a blueprint, allying with cooperative elementals while banishing the disruptive ones and keeping the world healthy. Which matches the priorities of the Cenarion Circle and Earthen Ring perfectly.
The Cenarion Circle even being named after a child of Elune who is a known ally of the titans would also probably be seen as a sign of cooperation with Order. Meanwhile the Earthen Ring managed to succeed where the titans themselves failed by uniting the four elemental lords to protect Azeroth. The Pantheon would surely be very impressed with that.
Like the Cenarion Circle, the Knights of the Silver Hand being named after a known titan ally would probably score a lot of brownie points. Although their mission isn’t necessarily as directly related to Order as the earlier two they’re definitely still an asset to the ongoing efforts of protecting Azeroth from threats. We can probably extended that sentiment to all other known paladin orders.
Titan Curiosity: Kirin Tor, Knights of the Ebon Blade, Conclave as well as Monks and Evokers in general
One aspect of the titans that used to be synonymous with them but I feel like has been lost in more recent lore is that they are inherently curious beings. They’re far from all-knowing and they like to study everything they find. The whole point of the Discs of Norgannon was so they wouldn’t miss any exciting developments on Azeroth while they were gone. Even Sargeras retained some of this quality in many ways after falling.
My first thought was that the titans wouldn’t like the Kirin Tor for trying to wield powers they could never truly comprehend but then I remembered Norgannon’s words to Malygos:
"Magic must be regulated, managed, and controlled. But it must also be appreciated and valued and not hoarded. Such is the contradiction you must deal with. May you be dutiful…and joyous both.” -Norgannon
So I think in some ways the titans would actually adore the Kirin Tor and enjoy seeing them experiment and study the world around them in the same way the titans study the cosmos. But also be concerned by the fact that by consolidating their practice all into one city they’re basically shooting a bright beacon through the cosmos advertising Azeroth’s location to anything that can sense energy usage and the Kirin Tor KNOW this but still won’t try to disperse.
The Knights of the Ebon Blade as well as the rest of the undead existing on Azeroth would probably alarming to the titans but I don’t think they’d be hostile to them. They’d definitely immediately try to quarantine them, but they’d also probably want to observe and study them since it shouldn’t even be possible for such complex and high functioning undead beings to exist on this plane in the first place. I often like to imagine the titans literally picking up Acherus and dropping it in a terrarium. 
The titans have met different mortals races across every corner of the universe so they’re likely familiar with all sorts of different religions and practices, but I doubt they’ve ever seen something like the Conclave where there are so many diverse faiths working in unison by finding little bits of common ground to unite under. The titans would probably be concerned with the Conclave’s tolerance of the Shadow and by extension the Void but also trust the wisdom of Saa’ra to keep it under control. As far as I know, we’re not aware of any direct alliance between the naaru and titans it’s hard to imagine they don’t at least respect each other given their overlapping goals of protecting the life in Great Dark Beyond from external threats. The titans even created Tyr and Odyn, two keepers who wield the Light. (I actually have a pet theory that Odyn wasn’t always a Light worshipper but rather converted to Light worship after being imprisoned by Helya caused him to do some self-reflection. But that’s a topic for another time)
As for monks, their manipulation of spirit energy through chi is fairly unusual and possibly unique to Azeroth given that the Lightforged Draenei have been all over the universe yet none of them picked up the art until arriving on Azeroth. It’s definitely something the titans would find fascinating, especially since it could potentially be very useful in the ongoing efforts to order the universe.
The Evokers and the dracthyr in general would probably be seen as an interesting albeit a bit upsetting mess to the titans. They segregated the powers of the dragonflights for a reason after all and the dracthyr were created purely for war while the dragonflights were created to care for Azeroth in addition to protecting her. However by playing with the powers of the dragonflights, Neltharion was also playing with the powers of the titans themselves which I can’t imagine wouldn’t pique the titans’ interest.
Titan Indifference: Unseen Path, The Uncrowned
While important from our mortal perspective I can’t imagine the titans caring about either of these organizations beyond the fact that they’re being more of a help than a hinderance so they can stay.
Titan Contempt: Valarjar, Illidari, Council of the Black Harvest
I always find it frustrating and a bit funny that so many people want to characterize Odyn as some super titan loyalist who would turn on us on the Pantheon’s behalf. If you think critically about Odyn’s story for like, five minutes, you’d realize how little sense that makes. He’s literally the only titan keeper to openly rebel against the Pantheon on behalf of Azeroth. The creation of the Dragonflights was not only an idea approved by the Pantheon but the Pantheon themselves channeled their own power through the keepers to empower the Aspects. Odyn objecting to it, believing the dragons would be a detriment to Azeroth instead of a help (and he was halfway right), was direct defiance of an edict coming straight from the titans themselves and he literally deserted his position over it, sacrificing all of his authority and cutting himself off from the rest of the keepers. Odyn is the last keeper who would blindly follow the titans and I don’t think the titans would appreciate Odyn’s defiance of them or the way he intercepts the agents of the Shadowlands to create his armies. Also the whole Helya thing was one colossal blunder that Odyn really doesn’t have an excuse for.
For the Illidari I think the titans would highly approve of their greater mission of destroying and containing the demon threat since that was literally Sargeras and Aggramar’s job before Sargy went cray cray. But they would frown upon the Illidari’s methods and recklessness. Not just their wanton usage of the fel and the violation of their own souls (although that’d definitely be a big part of it) but one glance at Illidan’s reign over Outland would be enough to tell you how careless the Illidari can be in pursuit of their greater goal and how at the end of the day they care more about fighting the demons for vengeance than actually bringing an end to chaos the demons cause since in many ways the Illidari can be just as problematic when the Alliance/Horde/Kirin Tor/Army of the Light aren’t babysitting them.
The Council of the Black Harvest would without question disgust the titans. Deliberately pursuing dark, dangerous and corruptive powers that they barely understand to sate their own lust for power with no regard to the damage they may end up causing makes them antithetical to Order. It doesn’t really matter what they say they’re using the power for, there’s no getting around the fact that they could learn much safer (albeit less powerful) forms of the same magic through the arcane but decided to be reckless instead. This all goes for the void elves as well.