I mean she'd probably try to appeal to the mama bear? Living in a cave is nice and all, but the world has more to offer than a simple home. Maybe seeing other Pokemon and starting a new family could excite the mom, or perhaps being able to find job that could really have the bear flex those muscles.

You mean the Paradox Pokemon? She's seen a couple this far, mostly feeling concern over Iron Jugulis in particular to being unsure of how one would even appear in the region she's staying in.
The Past Formes are a lot more justifiable as fossil and ancient Pokemon are much more accepted, and the Great Tusk she encountered did make her question if the other Past Paradox Pokemon are of a similar strength range.
And currently she doesn't have any plans to seek any Paradox Pokemon for herself! Of the ones she's looked into, none really felt close to her aesthetic.

It could be fun to see her straddling the Exeggutor, acting as though she were trying to get her exercises in when in reality, it's the tree getting himself a proper workout!

Well at least in my campaign it's very rare for quests to touch THAT heavy sexualization. (You know how it is, not everyone is interested in monster stuffing)
If the opportunity presents itself though Ming-Ming's more than happy to try and resolve things with a tender attitude and a relaxed vibe!
It just so happens that with certain Pokemon, it may very well be easier for her and said creature to hash out certain primal urges.

That sounds aight? I mean I've wanted Ming-Ming to have some sort of association with Tentacruel for a while, though the chance for it to happen never came. I'd hope the jellyfish is kind enough to drop her off close by land when he's done.😏

I mean, Ming-Ming has a Primarina named Amoré. Her entire theme is about love and romance. If you don't think those girls got up to their own sorta fun...
For the second part of the question, there was a Pallossand trap that managed to capture her and the rest of the party within its clutches, though it was defeated before it got her off. There's also a Charizard that emerged from a foothold trap... Instead of the dragon preying on an ally, instead Ming-Ming allowed herself to get plowed instead.
Who knows what that Charizard is up to now...

She loves sweets in general! Especially popsicles, she could go at those for a whole summer evening!

I thought I answered this before, but after a quick search it doesn't seem that way...
Anyway! She's managed to get with at least one of each type at some point in her journey. It's as simple as that!

Well it's not as though she's immune to psychics or illusions of the sort, but that's part of the reason she's rarely without her Espeon, Bastet! Part of the emerald cat's job is to make sure her partner isn't whisked away due to the alure of illusions, however...
Who knows, maybe the shortstack chef gets too close to an Alakazam and all they really want is to show Ming-Ming an experience of a lifetime.

"Awww, ya really lovin' it huh? Well I got seconds 'n thirds if you ever want a bite too! 'n heck, show me yer team, I bet I got the right kinda ingredients ta' patch em up, too!"

I've thrown her into some 5e games as a draconic tabaxi! I haven't really expressed her full stories there as one was a medium sized campaign, the other was a campaign that is all but cancelled.
I thought of getting her drawn as a Monster Hunter as well, but mercy those armors would cost a pretty penny to see drawn.💦

Looking at the entire crew, Linhuo (Kantonian Arcanine) and Sparkle (Galarian Rapidash) seem to be her nuttiest Pokemon across her crew? And of course, given the amount of time they've spent together, Linhuo would be the most excited wrecking his trainer a new one, there's a reason why people often see Ming-Ming as that Arcanine girl!
Shoutout to her Dragonite, Quigley, who's pretty much a giant wall of fluffiness.

I mean, w/ Ming-Ming I'd lose over a foot of height in favor of having some generous curvature. So that's probably cool I guess. Depending on how muscle memory works it'd be nice to have her knowledge of various recipes so I can always have a nice night (Despite my own laziness). I think the biggest frustration is women's clothing and just how difficult it'd be to find stuff that'd fit. :T

Well, the first time she's taken an equine Pokemon was a Zebstrika when she found her way to Unova in her tenure as a world traveling Pokemon trainer. That said, the Zebstrika was more than happy with using the dark skinned cutie as a mount, it's one of the best ways to show the perks of being a chef's Pokemon right?