Both dramas depict a group of very different people coming together reluctantly to achieve their goals. Even though both groups start on the wrong foot and get into many fights, they soon become a family that helps each other out, no matter what. A major difference is that in Sassy Go Go the group starts a cheerleading/dance team and in Dream High, it's a mixed K-pop group.
Both dramas heavily feature music and have people using their musical talents to form bands. I believe Entertainer is a better drama though because it features a main character who has been wrongfully accused of a crime and the angst of overcoming the challenges of being a "criminal" while trying to fulfill his dream of being in a band! Kang Min Hyuk stars in it and he is a K-pop idol/musician in the group CN Blue!
Both have romance and supernatural elements while remaining comedic. The romance also features bittersweet romances.