Sakigake!! Cromartie Koukou, Nichijou Recommendations
The anime is set in a school environment just like Nichijou and also has crazy things that happen at the school.
Both are about high school students who end up in wacky situations and both serve a "random" sense of humor with a wide variety of characters (and even a robot student). Both tend to be quite over the top when it comes to making a joke. The difference between these two is that Cromartie High is better than Nichijou.
Both take place in high school, and have a quick, slapstick style to their humor. If you like Sakigake!! Cromartie Koukou's humor, chances are you'll enjoy Nichijou's humor as well.
both are hilarious bizarre over the top at time surrealist comedies that are often basing their jokes on minimalist expressions and undermining or over-intensifying moments of comedic effect.