Usually the sunblock is a little bit oily. If your skin is quite dry,maybe it's suitable for you.
If you are looking for a daily facecare with spf, I suggest you to try Estee lauder's Daywear spf 15. Lancome also has such stuff as Vinefit spf 15 which I have tried before. Because my skin is combination----normal to oily, so I felt a little bit oily. Shiseido Skincare series's Day protective moisturizer (SPF15 sunscreen) is very good too.
Some kind of lotion that doesn't belong to the group of daycare is also good. There is no spf ingredient in them that belong to layering or refining group. I like Estee lauder's Idealist. Lancome's visible skin refining age solution is good too. Two of them are suitalbe for normal--oily skin. They are not oil-free but very good.
By the way,the choice is depend on what type your skin is. Good luck!