Name and email not enough? No problem! Just add some custom registration questions, attach them to your event registrations, and you're good to go!
From the Event Questions Manager:
When creating or editing an event's questions, select as many registrations as you'd like to have the questions automatically shown to registrants.
From a Specific Registration:
When creating or editing a registration, just select the questions you've already created and they'll be automatically shown to registrants.