Photographic prints and proof prints are very similar! They are produced on the same quality of paper & machines.
Proof prints are available at a more cost-efficient price, but are limited to four print sizes (3.5x5, 4x6, 4.5x6, and 5x5) and three different paper types. You can see the full list of options here. Additionally, you can only select one size and paper type per order in ROES.
Photographic prints (both No-Correction or Lab-Corrected) are available in 40+ sizes (ranging from 3.5x5 to 30x60) on six different paper types. You can see the full list of options here. Additionally, you can select any combination of sizes and paper types within a catalogue per order.