Hello @mbutton, unfortunately for a requester to raise an incident they will only have the single form to use. We are currently looking at ways to expand this in our organization as well. 

Some ideas:

• use Service items as incident forms
• Add all the fields you may need for your different types of issues and use business rules for forms to hide the fields based on some condition. (this poses a problem because those fields will appear in the ticket sidbar, so that could make for a lot of information not easily visible)

Still working on some others ideas, welcome any suggestions from the community. But ultimately it would be nice to have templates available to requesters for incident creation.

I suggest raising this request as an idea here

Best of luck!

you could also do like we did, set up froms with dropdowns using custom fields that are shown in the portal for users to select.