Things like "ough" for /a:f/, and vowel shifts whereby /a/ gets written "u".
Compared to that, some languages have sane Latinization.
Since English is so pervasive, people round the world can look at it and feel good about their own Latinization.
The Latin alphabet is the most popular phonetic alphabet, and keyboards (and formerly typewriters) for it are widely available. Not so for many of the others.
I can see that being a major motivation for Latinization, especially for smaller languages.
Well, I'd say it holds sway to learners that a) know a better system, and b) learn as adults. Both factors allow them to form a better judgment than kids that don't know any better.
* https://en.wikipedia.org/wiki/Character_amnesia
* http://languagelog.ldc.upenn.edu/nll/?p=25291 (and the articles linked from it)
Those that do use Pinyin to write on their computers also know that the large number of homophones makes it an order of magnitude slower than using radical based input methods to directly type the characters such as Canjie, Wubi, Boshiamy etc.
It's been always puzzling to me why borrowing Latin alphabet is usually considered today the only option. Many languages have phonetic alphabets of their own. Why is it that in the past people had no issue creating an original alphabet well suited for the language, and now the choice is between some bastardized form of Latin on the one hand and sticking to the inconvenient archaic writing system (however beautiful it looks) on the other.