Upvote:2
The scripture MN 117 explains there are two sorts of Right View or two sorts of Buddha's teaching, namely: (i) supramundane/transcendent; and (ii) mundane/worldly.
The mundane/worldly teachings that focus on avoiding bad kamma, doing good kamma and 'rebirth' are less focused on suffering & the cessation of suffering.
These 'kamma & rebirth' teachings are for the ordinary people called 'puthujjana' who are spiritually blind and naturally unable to discern the unsatisfactoriness and meaninglessness of the world.
These mundane/worldly teachings are to prevent ordinary people inflicting self-harm upon themselves and others.
These mundane/worldly teachings not only include moral teachings but also teachings about generating loving-kindness towards all beings.
Upvote:2
Sure, there's a school called Dzogchen (a subschool of Nyingma line of Tibetan Buddhism) catering to those who see the universe as Great Perfection.
There's Zen, which is for those much more interested in attaining Enlightenment or in discovering their true nature than in such things as suffering.
In general Mahayana-type schools are much less concerned about our own suffering and more about understanding the nature of reality and applying that understanding in our real lives to help those who are more confused than we are.