Countering Cryptographic Attacks
Differential and Linear Crypt-analysis. Number of Active S-boxes
  along-with the Differential and Linear probabilities of S-box
  contributes towards resistance against these attacks which also
  depends upon the branch number of the P Box. (Diffusion layer)


it is not only the branch number that influences on the number of active s-boxes, the cells permutation has a role, different permutations have different number of active s-box over rounds such as in skinny and midori cases.ref


  Impossible Differential. There exist one 5 round impossible
  differential in feistel cipher with bijective F function. So cipher
  with more than 10 rounds will have a good security margin against this
  attack


in term of SPN ciphers , according to this paper, the existence of impossible differential up to 6 rounds which are strongly related to the linear transformation properties. 


  Boomrang Attack. This uses two differentials and security against these again depends upon number of active S-boxes along-with the Differential probability of the S-box.


a new measure analysis called boomerang connectivity table of S-box provides insights on boomerang crypt analysis which provides a fundamental understanding how the S-box  properties counter the boomerang attack. ref


  Higher Order Differential. To resist this attack, Degree of the Boolean polynomials of the S-Boxes should be higher.


using larger S-box with higher algebraic immunity provides a counter to higher order differential. 

what about integral crypt analysis (division property of sbox) ?