If you still want them sorted, I just cooked up this Greasemonkey/Chrome user script to do it on the client-side:

https://github.com/modelrockettier/greasemonkey_scripts/blob/master/DO_Record_Sort.user.js

This is crazy when you have a bunch of domains on a droplet. Simple JQuery UI Drag n Drop would be easy enough to implement.

Possible sort options:
Date created
Last modified
Alpha (traditional domain: subdomain.example.com)
Alpha (reverse domain: com.example.subdomain)

Just those four options would remove a pesky annoyance.

+++
I have too many records in a sense, would love to reorder them, EVEN IF VIRTUALLY ON THE PAGE.

For now I inject a script to the page to allow sorting the stupid table.

+1 this is a must for us who have loads of records.

It would be ideal if we could rearrange them or at least group them by type (A, NS, MX, TXT) etc. For some websites I have numerous records for subdomains, MX's for Amazon, Gmail, Mailgun, all simultaneously active. Same goes for TXT and others. At the moment they seem to appear by order of entering, which can be confusing.

It would be really practical to have sorting by column (name, record type, etc) in the web UI.

I would also like the sort by columns method

It would be wonderful if we can filter one specific type of record on the record list.