It is also important that your sunscreen block ultraviolet A which is the non-burning rays that penetrate window glass and also penetrate deep into the skin causing aging, wrinkles, loss of elasticity, as well as skin cancer. You can be sure that your sunscreen contains a blocker for ultraviolet A if it says that it is "broad spectrum."
The only reason one would need to look at sunscreen ingredients would be if you were allergic to one of them and experiencing a rash, or if the sunscreen was causing stinging or burning of your eyes. The best sunscreen ingredients for those with sensitive skin or skin allergy to sunscreen, or those who experience eye irritation, is titanium oxide or zinc oxide. These are often referred to as "chemical free" or "sensitive skin" sunscreens. They may leave a slight whitish film on your skin, but they are very effective.
Neutrogena is the most popular sunscreen brand recommended by dermatologists. However, most brands or generic sunscreens will work just fine if you follow the advice about picking the right SPF (30 or above) and picking one that blocks both ultraviolet A and B (broad spectrum).