Pensacola - Amtrak station - ended in 2005.
Pensacola - Amtrak station - was created in 1993.
The closest Amtrak station to Destin, FL, is in Pensacola, approximately 50 miles away. The Pensacola station is served by the Amtrak Sunset Limited route. However, there is no direct Amtrak service to Destin itself, so travelers would need to arrange for additional transportation from Pensacola to reach Destin.
Tempe - Amtrak station - ended in 1996.
Crestview - Amtrak station - ended in 2005.
Sparks - Amtrak station - ended in 2009.
Jeffersonville - Amtrak station - ended in 2003.
Greensboro - Amtrak station - ended in 1978.
Biloxi - Amtrak station - ended in 2005.
Tallahassee - Amtrak station - ended in 2005.
Unfortunately, New Orleans is your closest station with Amtrak service at the current time. From there you can take the Crescent to Atlanta, Washington or New York, the City of New Orleans to Memphis, Carbondale or Chicago, or the Sunset Limited to Houston, San Antonio or Los Angeles. Hopefully, some day, the Sunset Limited will resume service east of New Orleans and Pensacola receives Amtrak service again.
Dwight - Amtrak station - was created in 1891.
Danville - Amtrak station - was created in 1899.