There is one thing you can do in the old search that you can't in the new.

[RattleheadM]

In the old search I would type in a band name and if there were several songs I wanted to download I would right click the download link in the list and click open in new tab, and I would do this for several songs then download them.  In the new search you can't do that, everything opens in the same tab which makes it more of a headache.

[Wepeel]

If you click on the "+" under the "Add" column all the download links open in their own tabs.