Near Rhymes:
* Centric (this is a near rhyme, sharing the same vowel sound and ending consonant)
* Eccentric (shares the same "centric" ending)
* Theoretic (also shares the same "centric" ending)
Eye Rhymes:
* Historic (spelled similarly, but pronounced differently)
Slant Rhymes:
* Geometric (slightly different vowel sounds but similar consonant endings)
* Romantic (similar vowel sound but different ending)
More Creative Options:
* Self-centric (combines "egocentric" with its core meaning)
* Me-centric (a playful, informal version)
Ultimately, the best rhyming word for "egocentric" depends on the context and desired effect of your writing.