Tattoo machines include a motor pivotably coupled to a frame. The motor includes an eccentrically weighted shaft. A needle drive mechanism is coupled with the motor. Methods of making tattoo machines may include obtaining a frame and obtaining a motor that includes an eccentrically weighted shaft. The motor can then be coupled to the frame so that the motor is able to pivot about a pivot axis. Methods operational for tattoo machines include rotating an eccentrically weighted shaft on a motor that is pivotably coupled to a frame. The motor is pivoted about a pivot axis as a result of the rotation of the shaft.