We apologize for the instability of composr.app and appreciate your patience. We are working on the statistics addon and trying to find an optimal way to store and render data. Unfortunately, we have yet to find a solution that can handle the traffic (and therefore, tens of millions of statistical records) of composr.app. We're working hard on one.
May implement local payment support via OmniPay library (http://omnipay.thephpleague.com/gateways/official/). If we do that put a note in other payment gateway issues that OmniPay supports as now supporting local payments (but payment button work may still be desired), and document.
No application needed: Yes
Transparent pricing: Yes
No monthly fee: Yes
Reasonable per-transaction percentages: Kinda (3.5%, 4.5% for subscriptions)
No bad reputation: Yes
Targets micro businesses: Yes
Payment button+IPN API: Yes (https://verifone.cloud/docs/2checkout/API-Integration/2Pay.js-payments-solution)
Local payments API: Yes (https://app.swaggerhub.com/apis-docs/2Checkout-API/api-rest_documentation/6.0#/)
Reasonably modern website: Yes
Reasonably stable business: Yes (Verifone)
International: Yes
No bank merchant account needed: Yes
Supports subscriptions: Yes
Supported by PHP Omnipay library: No