I think there is no equivalent of the Annals for applied math but, in my opinion, some flagships are
 
 - SIAM Review
 
 - Mathematics of Computation
 
 - Foundations of Computational Mathematics

but at least the two latter are not for applied math in general but with a special focus on computation. Moreover, the other SIAM journals are top for their subfields and specific for optimization "Mathematical Programming" is top.