I will be the first one to tell you that Chicago deep dish is always my first choice. However, you can't always drive up to the city for pizza so what is in town will have to do.
Bruno's Pizza and Big O's Sports Room
Two words: Bruno. Dough.
This (in my personal opinion) is a staple of this town. It is located right off campus and is perfect for a post or pregame day fun. The first major pizza location for West Lafayette in 1955 and has an amazing story. Highly recommend trying the peanut butter pizza with chocolate chips. Yes, it sounds different, but it is PHENOMENAL! Take a risk and go for it!
Arni's Pizza
A consistent summer of my childhood was spent at Loeb Stadium during baseball season and I would always walk across the street to pick up some fresh Arni's pizzas for the whole clan. Been around for over 50 years, another well-known spot for those in town. The original location opened in Lafayette in Market Square and is still going strong. The crisp pizza style combined with a famous Arni's junior salad can always put a smile on your face.
Pizza King
My brother's personal favorite place to get cheese pizza and breadsticks. With their "secret recipe" and fun, family atmosphere, Pizza King is definitely a place to go when in need of some good food.
Monical's
My mom used to order delivery from Monical's at least twice a month due to our busy schedules and lack of time to make dinner. Nothing too fancy, just good pizza and great breadsticks. Perfect for delivery!
Professor Joe's Sports and Pizzeria
https://www.professorjoesmenu.com/
Located in Downtown Lafayette, Professor Joe's is a great spot for pizza and sports. It is located on Main Street and is famous for pizza, pasta, and salads. I have never actually been, but I have heard amazing things.
Honorable Mentions:
Cafe Literato- different pizza flavors and many other great menu items!
Hot Box Pizza: open late! Great place for college hangouts
Mad Mushroom: gotta love their cheesy bread
Puccini's: more famous for their pasta, but also offers pizza options