Tomaso Albinoni on the 14th, Edvard Grieg on the 15th, Igor Stravinsky on the 17th, and Charles Gounod on the 18th. Maybe that's close enough for you? Unfortunately, I don't see any well known composer born on June 16th--only a bunch of composers whose music I don't know:
1633 Nathaniel Schnittelbach
1637 Giovanni Paulo Colonna
1752 Meingosus Gaelle
1843 David Popper
1843 Jan Malat
1853 Johan Gustaf Emil Sjogren
1863 Paul Antonin Vidal
1901 Conrad Beck
1903 Huldreich Georg Fruh
1916 Francis Lopez
1923 Ake Hermanson
1923 Henryk Czyz
1929 James K. Randall
1931 Ivo Petric
1934 Lucia Dlugoszewski
and, as mentioned, 1952 Gino Vannelli...
If you go to You Tube, you may be able to find a kindred spirit among the above composers. But, as I said, I don't know any of them, except for Vannelli...
No wait!, I missed one--yes, there was a famous composer born on your birthday, Eugene Ysäye, on June 16th, 1858. (Edit--I now see that Lark beat me to it.)