There's a bit more to it than this, but this did happen. The reason she didn't want a Budew in the first place is because she used one once and try as hard as she might, it just wouldn't evolve for her. She kept training it but it wouldn't evolve and eventually she gave up after missing out on tons of good level up moves if it had have been a Roselia. So that's why she doesn't like them, then she walks into Eterna Forest and finds a double battle with two Budews as her first encounter.
Anyway, on to the topic at hand.
For me it's mainly pokemon that are excellent competitively but look horrendous.
The main ones I can think of at the moment are:
Diggersby,
Conkeldurr,
the Forces of Nature (Thundurus, Tornadus, and Landorus),
and Rotom-Wash.
Particularly Rotom-Wash, everyone and their mother uses it and the only reason I can come up with is that it's good. Not that they actually like it. (Though I'm sure some people do)