Can I have a textarea field which isn't rich text? I have a rich text field that I don't want wrapped in anything. 

I just want a text area field, but I'm not sure how to get a text area without making it rich text, as the only multiline text field is the rich text field.

If it is going to be rich text, I need to be able to remove wrapping tags and control those.
If what you want is a multi-line plain text field, then check the Allow line breaks checkbox for that field.