What is the/are products that meet(s) my description/requirements?

[V]

Requirements:

We need ability to manage waterfall and agile work items.

Advanced Roadmap of agile and waterfall projects/tasks, products, and epic/features/features/user stories.

Identify team or team member velocity and plan capacity.

Integrate work items with external tools to initiate actions such as create a work item based on the event from external/internal tool

Reporting for waterfall and agile

UI Customizable

Templates customization for specific types of teams or methodologies

[John Funk]

Hi V - Welcome to the Atlassian Community!

That's a lot to expect your fellow end users to provide for you. It looks like you basically want us to do all of your work for you. You will need to make an effort to do each of these things and then ask for specific items one at a time that you need help with. But you need to put in the initial effort on each of those.