  We present new examples of generic diffeomorphisms without attractors. Also,
we study how these wild classes are accumulated by infinitely many other
classes (obtaining that the chain recurrence classes different from the only
quasi-attractor are contained in center stable manifolds). The construction
relies on some derived from Anosov (DA) constructions and uses strongly the
semiconjugacy obtained by these diffeomorphisms. An interesting feature of this
examples is that we can show that robustly, they present a unique attractor in
the sense of Milnor.
