Well, first of all, there are the 52 levels of enlightenment (五十二位
: ten faiths 十信, ten abodes 十住, ten practices 十行, ten transferences 十迴向, ten grounds 十地, ultimate enlightenment 等覺, wonderful enlightenment 妙覺). There are also other divisions, like the six kinds of buddhahood
(六即佛), and other common levels used in Mahayana (five paths, ten bhumis
Specifically Zen levels are the so called "five ranks" (五位), and the "four (positions) of host and guest" (四主賓), and there can be a few others, depending on how we take it. But there are two important things to be clear about. First, that the doctrines you find generally in Mahayana are accepted by Zen too, and in most of the cases there is no need for any "Zen teaching" on them. Second, Zen is a quite diverse school for a couple of reasons, therefore different teachers and lineages use different doctrines. What I find a common pattern that goes back to the early masters like Baizhang Huaihai is a thee-level setting that corresponds quite well to certain Sanlun and Tiantai doctrines and can be seen in this teaching by Ven. Shengyan: Three Stages of Chan Meditation
"While teachers of the middle way, mind only, transcendent wisdom, mantra, and other schools may have their own assertions, the fulfillment of those intentions is the same. There is not a single thing that is not contained within mind."
(Gampopa to Düsum Khyenpa, in "The First Karmapa", KTD Pub, p254)
“If you recognize the world of appearance and existence as the mind, realize the mind itself as empty, and have no grasping at the superiority of your realizations — this is the ultimate view."
(Chegom Dzongpa, in "The Book of Kadam", Wisdom Pub, p609)