There are plenty of synonyms for the phrase "with large omissions" depending on your context and intended meaning. If you're talking about a piece of writing, you could use the terms "abridged," "condensed," or "edited," all of which might suggest that significant portions of the original text have been removed. If you're discussing something like a report or a dataset, you might use "incomplete," "partial," or "selective" to convey the idea that certain key information is missing. Other synonyms that could be applicable in various situations include "abbreviated," "curtailed," "truncated," "expurgated," and "cut down".