The PJ Livesey Group has submitted a hybrid planning application for the former MMU campus site in Didsbury.
The application for the 17-acre site follows MMU's move to Birley Fields in Hulme.
The proposal is to create 19 apartments and 12 houses at the grade 2*-listed administration building and convert the chapel into 10 apartments. There will be further conversion of three smaller listed buildings: The Lodge, 801 and 803 Wilmslow Road into three homes.
A total of 42 new houses ranging in size from 1,283 sq ft to 3,372 sq ft with an emphasis on outside space, architecture and retention of trees, are planned for the grounds.
There are also plans for a new-build block of seven apartments ranging from 2,081 sq ft to a four-bedroom 2,782 sq ft penthouse.
The proposals include an outline application for a new primary school on the Broomhurst Hall site.
James Woodmansee, director of PJ Livesey, said: "It is vitally important that we create the right kind of residential development that will not only enhance Didsbury but create a real choice for families wanting to live within Manchester.
"This is a large site with two distinctive heritage buildings and the new build homes will respect the location and provide a new level of accommodation for Didsbury."
The Manchester-based company was advised by HOW Planning and Calderpeel Architects to draw up the scheme and by law firm Slater Heelis on the site acquisition. MMU was advised by DTZ and Addleshaw Goddard.