Which is more correct: "burgled" or "burglarized"?

Either is acceptable. Burglarized is much more common in the USA, although burgled is less cumbersome. Dictionary.com dates both burgle and burglarize from the 1870s. Burgle is a back-formation from burglar.

I really like Google's N-gram viewer. Look how a picture says more on the subject than a thousand books could :)

Burgled vs. burglarized in Google's corpus of British English:
British http://ngrams.googlelabs.com/chart?content=burgle%2Cburglarize&corpus=6&smoothing=3&year_start=1800&year_end=2000

Burgled vs. burglarized in Google's corpus of American English:
American http://ngrams.googlelabs.com/chart?content=burgle%2Cburglarize&corpus=5&smoothing=3&year_start=1800&year_end=2000

According to Wiktionary burglarize is an acceptable US synonym to burgle.

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