When we say we're "gaga over" someone or something, it can mean that we're really excited, enthusiastic, or in love with them. There are many synonyms that can be used in place of "gaga over", such as "crazy about", "infatuated with", "smitten with", "obsessed with", "enchanted by", or "head over heels for".
These synonyms convey the same level of excitement and passion, but with slightly different connotations. "Crazy about" suggests a wild and unrestrained level of affection, while "infatuated with" implies a more temporary and irrational attachment. "Smitten with" has a softer, more romantic tone, while "obsessed with" suggests a potentially unhealthy level of attachment. "Enchanted by" and "head over heels for" both imply charm and magic.