» July 23, 1985: Oddibe McDowell becomes the first Texas Ranger to hit for the cycle, going 5-for-5 in an 8–4 win over Cleveland.
» May 25, 1986:
Roger Clemens no-hits the Rangers for seven 2/3 innings before Oddibe McDowell singles and Clemens settles for a 2-hit 7–1 victory that improves his record to 8-0.
» September 1, 1986:
After winning 7–3 in game 1, Texas Rangers pinch hitters Oddibe McDowell and Darrell Porter blast 9th inning back-to-back homers off Boston's Steve Crawford in game 2, but Boston wins 8–6. Nine homers are hit in the twinbill.
» December 6, 1988: The Rangers complete their 2nd major trade in as many days, sending 1B Pete O'Brien, OF Oddibe McDowell, and 2B Jerry Browne to Cleveland for 2B Julio Franco. The Expos and Phillies also complete a trade, P Kevin Gross to Montreal for pitchers Jeff Parrett and Floyd Youmans.
» July 2, 1989:
The Braves send OF Dion James to the Indians for OF Oddibe McDowell, and P Zane Smith to Montreal for three minor leaguers.
» July 2, 1990:
The Braves send Dion James to the Indians for CF Oddibe McDowell. The Braves will move Dale Murphy back to RF.
» July 6, 1999: The White Sox lose to the Royals, 8-7. Chicago OF Chris Singleton hits for the cycle, becoming the first rookie to do so since Oddibe McDowell in 1985 and just the 16th since 1900. Singleton goes 5-for-6 and drives home four of Chicago's runs.