The author has proved that a crepant resolution Y of a Ricci-flat K��hler cone X admits a complete Ricci-flat K��hler metric asymptotic to the cone metric in every K��hler class in H^2_c(Y,\R). These manifolds are generalizations of the Ricci-flat ALE K��hler spaces known by the work of P. Kronheimer, D. Joyce and others. This article considers further the problem of constructing examples. We show that every 3-dimensional Gorenstein toric K��hler cone admits a crepant resolution for which the above theorem applies. This gives infinitely many examples of asymptotically conical Ricci-flat manifolds. Then other examples are given of which are crepant resolutions hypersurface singularities which are known to admit Ricci-flat K��hler cone metrics by the work of C. Boyer, K. Galicki, J. Koll��r, and others. Two families of hypersurface examples are given which are distinguished by the condition b_3(Y)=0 or b_3(Y)>0.

32 pages, 1 figure Some material added on embeddings of cones and some minor corrections made