A nice feature to have on the admin home page would be a list of new orders (not processed and not shipped).
I've already implemented this but maybe for the next release it could come "out of the box".
i've changed the Nop_OrderSearch sp and added a new param @Processed bit and the managers.
...
(@TransactionState IS NULL or LEN(@TransactionState)=0 or o.TransactionState = @TransactionState) and
((o.Processed = @Processed and ShippedDate is null) or @Processed is null) and
(o.Deleted=0)
...
I think the order should be automatically processed if the order is shipped. I haven't done that yet but the above condition simulates just that.
This feature could also go on the order's page, so you have more filter options.