I have made a very simple spell checking app with AGK. It only checks a single word, but was done to see if AGK2 is sufficient for the job.
I am quite satisfied with the performance. The dictionary is Australian English with over 68,000 words.
The executable here is for Windows, but there is nothing platform specific about the code, so it should work on Mac and Linux (if compiled for those targets).
I have not tested it on Android, iOS or HTML5, as the desktop is my current main interest.
@Phaelax, I am not familiar with Levenshtein distances, so the suggestion algorithm used here is my own simple minded method, but works reasonably for the type of spelling and typo mistakes that I usually make.
agk-gamedevguy-spell-check-2017-05-20.zip