I have been using AccountRight for years, and have moved over to Essentials a few months ago.
On AccountRight, I had every supplier and customer setup in card files, so whenever a payment came through, I would attribute to the relevant card file (we don't do our invoicing through MYOB - we use our own custom-built software for this). This worked well as it allowed me to find transactions from certain suppliers, or be able to see totals etc.
Essentials doesnt seem to have this essential feature, so if I am searching for a transaction from a particular supplier, I have to rely on the description, which is not at all reliable. I guess I could add a note to each payment, with the name of the supplier on each note, but this also isn't going to be 100% reliable either.
Any other ideas?