sororities that are similar

Obviously there are some differences and they're not all exactly the same and this is just my opinion but I think these pairs are pretty similar.
AXO=XO
KD=KKG
DDD=AGD
ZTA=PIPHI
ADPi=DG
GPhi=DZ
AOPi=Theta

those seem right but DDD and AGD are about a opposite as you can get. id put AGD with XO and AXO and DDD with KD and KKG

Not exactly what you were asking for, but here are some categories that houses fall into. There are some houses that are very similar to another house, but most houses just have certain qualities that make them similar.

It’s important to note that there are smart, involved, pretty, and social girls in EVERY house. These are more of “trends” than sweeping generalizations. And people don’t necessarily pledge a house just because they fit the stereotype of the house— some girls who are really smart and involved in high school choose a more laid back sorority than an academic one because they don’t want to be in a house where they can stand out. There are wild girls in alpha chi and alpha gam, and involved girls in kd and kappa. It’s more about where you think you’ll be happiest.

Academic Houses: AXO, XO, AGD, ADPi, Theta

Competitive Houses (houses that take greekweek, homecoming week, etc very seriously): PM, XO, AXO, ADPi (only pomping):

Laid back houses: KD, KKG, DDD

Religious Houses: AGD, AXO

Looks Houses: PM, ZTA, APhi, kind of PI Phi

Personal Appearance Houses (think put together): PM, AXO, ADPi

Involved Houses: AXO, XO, DG, ADPi, GPB, AOPi

Party Houses: KKG, ZTA, APhi, KD, DDD, Pi Phi, DZ

Funny/Sarcastic Houses: KD, DDD, Pi Phi, KKG

Sweet/kind Houses: AOPi, AGD, AXO, XO

Southern Houses: AGD, KD, DDD, XO

Northern Houses: Pi Phi, APhi, DG, Theta, DZ, ZTA