I like them. Generally speaking.
I liked FNC, I'm the kind of guy who feels Type-0 was dropped too quickly and damned too harshly. I liked 13 and its world. I understand why people had such an issue with the game's story being mostly told in Analects and the linearity of the gameplay. But to me, those were fine. The linearity was justified, even if a little overdone: not only are they running away all the time in Cocoon, they're also in a technological world thar likely doesn't have that many open-ended paths when security is that tight. And as for the plot, all you need to know is told to you, and you can sort of tell what some stuff is through context. Consider this: if I liked the FF12 Bestiary, the Analects really didn't bother me. It's part of why I like Bozja and the Variant Dungeon. You go through the adventure yourself, but if you want more, you can look it up.
As for 10-2... Even if it is too goofy and causes whiplash, I kinda didn't really mind it? I understood why they went for that sort of mood, even if I prefer 10 itself over the sequel. I know so much is different from 10, but it just didn't feel like it NEEDED to be. 10 was gloomy and mournful, whereas in 10-2 the reasons for why that was are gone, and people clearly became more indulgent. So it made sense, since breaking 10's depresso-espresso spiral was 10's whole point. But I did mind one thing: not all of the humour was my taste, especially the really cringeworthy dialogue. Even if I enjoyed the gameplay and the story was alright, the writing was... disasterrific. Besides that, I like how some stuff are explored from the past game too, especially some Ronso who obviously don't like the Guado after Seymour Thanosed them. I need to replay it, actually. I only learned that you can end up making Garik kill all the Ronso in these forums ^^; I never saw that.
i thought garik would just ignore me getting stuff wrong lol... What? :| That happens in FF14 all the time, don't @ me!
Also helps that I liked Koda Kumi as a kid xD
o,o;; FF12 isn't that popular in the community, by far. A lot of people criticised it back in the day, from its "boring and political" tone to Vaan being annoying. A meme in 2010 was that they thought 12 was the worst until 13 came out.