Android - ToDo list, with SPECIFIC repeat option

Astrid has support for scheduled reminders based on completion date.

Cloud support is also present - tasks sync with astrid.com

Also Remember The Milk allows a user to schedule due dates depending on the completion of a task - one needs to enter "after x days" instead of "every x days". Android and iOS apps available.

todolist

https://support.todoist.com/hc/en-us/articles/205325931-Dates-and-Times

Recurring dates - e.g. Clean fridge with due date every! 3 months starting 10 April