There are several synonyms for the phrase "wrapped up in". One might use the phrase "immersed in" to convey a deep involvement or preoccupation with something. Similarly, "engrossed in" or "enthralled by" could be used to indicate a strong interest or captivation with a particular topic or activity. Other options include "consumed by", "absorbed in" or "lost in", which all suggest a complete attention or focus on something. If one is trying to convey a more negative connotation, they might choose "obsessed with" or "fixated on", which could imply an unhealthy level of attachment or preoccupation. Ultimately, the specific synonym used will depend on the intended meaning of the phrase and the tone of the overall sentence.