Which web based software is best for Accounts?

you can use front accounting free software

if you want paid personal use or small business i suggest cash organizer 

Microsoft Dynamics is a line of integrated, adaptable business management solutions that enable your people to make important business decisions with greater confidence. Microsoft Dynamics works like and with familiar Microsoft software-easing adoption and reducing the risks inherent with implementing a new solution. These solutions automate and streamline financial, customer relationship, and supply chain processes in a way that can help you drive business success.

Dynamics by Microsoft

Odoo accounting which is an open source ERP

www.odoo.com