[Sister Havana]

In my Alpha Phi Omega chapter, we have:

Executive Officers (these are the only elected positions)
President
VP of Service
VP of Membership
VP of Communications
VP of Finance

Appointed Officers (we have a TON of these!)
Executive Branch
Sergeant-at-Arms
Ritual Chair
Risk Management Chair
Service Branch
Scout Liaison
Membership Branch
Rush Chair
Pledge Trainer
Social Chair
Campus Activities Chair
Intramural Chair
Banquet Chair
Big/Little Chair
Communications Branch
Muse (newsletter) Editor
Big Brother Chair
Section 52 Chair
Webmaster
Intrafraternity Relations and Communications Chair
Historian
Public Relations Chair
Recording Secretary
Alumni Secretary
Office Manager
Associate Liaison Chair
Finance Branch
Fundraising Chair

Officers generally change every semester, although some do serve for more than one semester. And you can hold more than one appointed position at once, though I never did.