In large Dutch oven, combine first 4 ingredients. Bring to a boil; reduce heat and simmer, covered, 1 hour.
Remove meat and bones from broth; cool. Remove turkey meat from bones; discard bones. Chop turkey into bite-size pieces. Strain broth; return broth and turkey to Dutch oven.
Stir in next 9 ingredients. Bring to a boil; reduce heat and simmer 20 minutes.
Stir in spaghetti and green beans; continue cooking until potatoes and pasta are tender (about 10 minutes).