Most browsers have a "shortcut on homescreen" option when you long press the bookmark or URL.
Or long press on the screen and add "shortcut/bookmark", then select the one you want (you have to bookmark it in your browser first).
Then with most Launchers you can change the icon to anything you want to.
Originally Posted by maker96
I don't know much about this but on my Samsung S3 I would like to have an icon and by clicking I can open a web page of my choosing.How?