Each answer is two words.... and the first one is RED.
1. Insect with the scientific name Vanessa Atalanta
 Red Admiral
2. Tom Clancey novel, fictional submarine
 Red October
3. 1985 movie starring Brigitte Nielsen and Arnold Schwarzenegger
 Red Sonja
4. American movie actor & TV host 1950s to 1970s, noted for his paintings of clowns
 Red Skelton
5. 1981 novel by Thomas Harris
 Red Dragon
6. TV series starring Tamzin Outhwaite (2003-2004), concerning the personal relationships of a British Army Special Investigation Branch unit based in Germany
 Red Cap
7. A pale English cheddar cheese made using cow's milk marbled with a Bordeaux wine or a blend of wine and brandy.
 Red Windsor
8. F1 racing team
 Red Bull
9. Aid charity providing emergency aid in predominantly muslim countries
 Red Crescent
10. Football team who play in the Serbian capital
 Red Star (Belgrade)