Houston Astros-
Matt Duffy(former Vol 3B, traded to Texas Rangers & send down to AAA Round Rock Express)
Cleveland Indians-
Yan Gomes(former Vol C, starting C for Indians)
New York Yankees-
Chase Headley(former Vol 3B, starting 3B for Yanks)
Philadelphia Phillies-
J.P. Arencibia(former Vol C, currently at AAA level Durham Bulls for Tampa Rays, former starting C for Toronto Blu Jays)
Toronto Blue Jays-
R.A. Dickey(former Vol pitcher, starting pitcher for Toronto)
Kansas City Royals-
Luke Hochevar(former Vol pitcher, pitches out of the bullpen for Royals)
Kentrail Davis- (former Vol OF, now a FA, last played for Arkansas Travelers at the AA level)
Nick Hernandez- former Vol pitcher, last year pitched for Winnipeg, AA level for the Phillies)
Duente Heath- (former Vol pitcher, Now a FA, last pitched for the MLB White Sox in 2013)
Blake Forsythe- (former Vol C, Now a FA, played last year for the Lehigh Valley AAA of the Phillies)
Charlie Thurber- (former Vol OF, now a FA, last played for New Britian in AA level of the Rockies in 2015)
Matt Ramsey- (former Vol pitcher, currently plays for Jacksonville class AA of the Marlins)
Zach Osborne- (former Vol SS, currently plays SS for Hartford class AA of the Rockies)
Cody Hawn- (former Vol 3B, last played DH for Brevard County class A advanced of the Brewers in 2014)
Julio Borbon- (former Vol OF, currently plays for the Baltimore O's MLB club, former MLB player for Rangers)
Will Maddox- (former Vol 3B, currently plays 1B for West Michigan class A Detroit Tigers)
Scott Price- (former Vol 1B, now a FA, last played for Salem-Keizer class A San Francisco Giants)
Taylor Smart- (former Vol Infielder, last played for Wichita class AA of the Royals in 2015)
Zack Godley- (former Vol pitcher, currently back with the DBacks MLB club, 7-15-16)
Nick Williams- (former Vols pitcher, currently plays for Jupiter class A advanced of the Miami Marlins)
Josh Lindblom- (former Vol pitcher, currently plays in Korea for the Lotte Giants, played in MLB for the Dodgers,Phillies,Rangers, & A's from 2011-14)
Drew Steckenrider- (former Vol pitcher, currently plays for Jacksonville Suns class AA of the Miami Marlins)
2015 draft picks:
Christian Stewart- (former Vol OF, currently plays at A level Lakeland of the Detroit Tigers)
Andrew Lee- (former Vol pitcher, currently plays for Hagerstown class A of the Nationals)
Drake Owenby- (former Vol pitcher, currently plays for the Wisconsin Timber class A of the Brewers)
A.J. Simcox- (former Vol SS/2B, currently plays SS for Lakeland class A advanced of the Tigers)
Bret Marks- (former Vol pitcher, currently plays for GCL Yanks class A rookie league of the Yankees)
Khayyan Norfork- former Vol, currently plays 3B for the Harrisburg Senators AA affiliate of the Washington Nats)
2016 Draft Picks:
Nick Senzel- former Vol 3B, drafted in the 1st round(#2 overall by the Cincinnati Reds in the 2016 draft), currently plays for Dayton Dragons A ball.
Andy Cox- former Vol pitcher, drafted by the Cincinnati Reds in the 7th round of the 2016 draft), currently plays for Billings Mustangs A ball team of the Reds.
Vincent Jackson- former Vol OF, drafted in the 14th Round of the 2016 draft by the St. Louis Cards, currently plays for State College Spikes short A ball of the St. Louis Cards
Edit:
Link update for all of the former Vols from above & more: Pros Update: Stewart in Futures Game, Borbon Heats Up - University of Tennessee Official Athletic Site