Catalogue & checkout
OXID eSales
Official payment integrations for PayPal, Stripe, Unzer, Adyen and Amazon Pay sit alongside tiered and customer-specific pricing, discount logic and per-shop conditions in a multilingual multishop setup — more than a basic product list. I found no public information on variants, bundles, guest checkout, or invoice and direct debit payment, which is what I would need to see to go higher.
PrestaShop
The captured pages do show a native One Page Checkout shipped in the 9.2 bundle, with documentation telling module and theme developers how to keep their solutions compatible — a real conversion feature and a checkout I can customise without a rebuild. Beyond that I found no public information on variants, bundles, tiered pricing, payment methods, promotions, or multi-currency, so the merchandising side of this criterion rests on nothing visible here.