The Buccaneers (briefly) had two at the same position:1997 NFC Offensive Rookie of the Year Warrick Dunn spelling 2005 NFC Offensive Rookie of the Year Cadillac Williams.
On the defensive side, the Texans have DeMeco Ryans (2006) and Bryan Cushing (2009) playing middle and outside linebacker.
Ah, I was young in 97 and my memory was that was the story that was going around at the time. I did a quick check of Wikipedia and it backed me up (but without citation).
Sergei Makarov -Calgary 1990, Joe Nieuwendyk -Calgary 1988 and Gary Suter - Calgary 1986 all played together. There are other incidents as well and it was quite common back in the six team era.
Strawberry and Griffin were both with the Dodgers in '91, too. And since Strawberry was with the team in 1993 he would’ve played a few games with Mike Piazza.