Hi Sarah - I actually created two different smart lists for this. I have a hard bounces smart list which uses the 'email bounced' filter (this you can either set to is any email or a specific email/s), and I also have a soft bounces smart list that uses the 'email bounced soft' filter and you can fill in the same settings as above. After that I click view qualified leads> qualified leads and a full list of emails bounced appeared. You can change your view so you can export just the information you want, or you can add a filter so you can see bounces based on sales reps.
I am not sure if this is easier or harder than Cathal suggested, but I don't have a Salesforce so there's a lot of things I have to do more manually.
Hope this helps!