X different Opening Day Starting Shortstop in X Seasons (since 1914)
Baseball-Reference takes us back until 1914 and while Retrosheet provides starting pitchers in their game logs, it doesn't have that for other positions.
The two longest active streaks listed are in jeopardy. Jhonny Peralta will likely start again for the Cardinals this year and end their streak at eight (after David Eckstein, Cesar Izturis, Khalil Greene, Brendan Ryan, Ryan Theriot, Rafael Furcal and Pete Kozma). The Astros picked up Jed Lowrie this offseason, so they'll probably extend their streak to seven (after Miguel Tejada, Tommy Manzella, Angel Sanchez, Marwin Gonzalez, Ronny Cedeno and Jonathan Villar). The Twins had a good (bad?) run end last year when Pedro Florimon drew a second consecutive start.
Here's the full list of shortstops from the teams shown above. Some interesting names here include Mario Mendoza of the famed "Mendoza Line," and not that Mike Tyson. Also, how abut the 1925-31 Red Sox streak, featuring a Turkey, a Rabbit, a Dud and a Pee-Wee: