Different versions of Project

Hi Megan

Here is a short summary of the difference of the versions you asked for:

New to Project 2013
A new Reports tab with dashboard style reports to show project status, costs and resources.

Trace Links (Format, Task Paths)
Highlights paths of successors to a task and and predecessors

New to Project 2016
Multiple Timelines

Team Planner
Available with Project Professional 2010 and later


Also there is a blog on www.stl-training.co.uk with new features of Project 2013 and 2016. Here are some some of the links.

https://www.stl-training.co.uk/b/blog/category/project-training/

https://www.stl-training.co.uk/b/blog/project-training/project-2013-burndown-charts/

https://www.stl-training.co.uk/b/blog/project-training/ms-project-2013-stay-on-budget-with-cost-overview-reports/

https://www.stl-training.co.uk/b/blog/project-training/visual-reports/

The link below covers What's new in Project 2013?

https://support.office.com/en-gb/article/What-s-new-in-Project-2013-1d223a6e-9e54-4c42-a79b-6df1fa59f5f0

Hope that helps

Regards
Doug
STL