These Baseball titles included some form of "Super League" where pitchers and batters would have special abilities.
Baseball Simulator 1.000 (1989, NES), also known as Choujin Ultra Baseball
Super Baseball Simulator 1.000 (1991, Super NES), also known as Super Ultra Baseball
Ultra Baseball Jitsumeiban (1992, SNES) NPB licensed.
Super Ultra Baseball 2 (1994, SNES)
Ultra Baseball Jitsumeiban 2 (1994, SNES) NPB licensed.
Ultra Baseball Jitsumeiban 3 (1995, SNES) NPB licensed.
Super Choujin Ultra Baseball DS (Nintendo DS), with a full NPB license, online support, and characters from anime shows like Yumeria, School Rumble, Negima!, and Lucky Star.
Source: Wikipedia, "Baseball Simulator 1.000", available under the CC-BY-SA License.