In Web application you should check additional cases that you don't use in windows application such:
1. Checking the application in all Internet Explorer version (or from version that your application should support until the last version)
2. Fire Fox browser (in case that your application should support)
3. Netsape browser (in case that your application should support)
4. All Windows platforms ( Win95 + Win98 +.... - or from version that your application should support until the last version + Service Pack versions)
5. Checking your application with Internet Options
6. Checking your application with different windows resolution and settings