Ghostery developer here. As someone else pointed out, it's usually analytics tied to certain events like button presses, ads that trigger the main content to load after it shows, or fonts loaded from a 3rd party like Adobe that break sites. When we block the javascript and the developer didn't use a try/catch around that analytics/ad call, it breaks.
Most of the time there's no way around that breakage except by allowing the script (unless you use surrogates). So if Ghostery breaks the page and another blocker doesn't, usually that means that the other blocker is not blocking that script.
Adblock Plus lists, for example, contain extensive exceptions to allow scripts/ads on certain broken sites. This improves usability greatly and is a big reason some people are happy with ABP and not Ghostery. This isn't done in the most transparent way though, which leads to people unjustly accusing them of accepting money to allow ads when they find out about these exceptions. (This has nothing to do with the non-intrusive ads feature, which is a separate issue)
In addition to the extension working on Firefox for Android, Ghostery has it's own browser:
https://play.google.com/store/apps/details?id=com.ghostery.a...
It's pretty new and has some key features that are still in development, but it's getting there.