When I go to my site collection and click New > List, there are only a few lists available. The heading 'Communications', which has Annoucements, Discussions etc, is completely gone. The sub sites of this collection however have the full set.
I've tried exporting the Announcements list from one site into the root collection but it doesn't show up. I've also enabled all the features correctly.
I have other site collections which work fine and have a full set of lists available at the root.
Seems you were both correct in your assessments. I found out why I don't have a Team Collaboration Feature. It's because I was looking at the Site Collection Features at the root, instead of Site Features. This site explained this common mistake!
All sorted now, hopefully someone else can benefit from the post. Thanks all for your help.