There are so many variations and it varies by the type of nonprofit you work for, but I can share with you my org's org chat and what I find most nonprofits use in my field of work:
But it's so subjective depending on the type of work you do. Depending on the industry you work in, this will look different. For example, in the world of foundations/grantmaking, you will find organizations have "Program Officers". Other nonprofits can be very business-like and use "President/CEO" instead of ED and use "Vice President" positions in place of directors, and so forth.
Finally, some universal positions at nonprofits are:
What type of nonprofit field are you looking into?