The examples posted in other answers are fine. You won't often see or hear many of these examples because it is much more common (and sounds much better) to use "would like to" in almost all of the situations where you can use "wish to." I doubt I have ever heard someone say "I wish to eat a sandwich" but "I would like to eat a sandwich" is extremely common. Both are perfect English. I'd suggest just sticking to "would like to."

when and why I can't use to after word wish ? The question needs to be corrected and then you would probably get better help, if I understand correctly you want to ask. Why can't I use the word "to" after the word "Wish", and when is it okay to? In answer, It is okay to use "to" after "wish" for example: I wish to eat some food. But normally, people wouldn't use the word "Wish" unless they were talking informally about something that they hope to have in the future, for example: I wish that I had no homework today. Or I wish I had job. When you want to ask for something it's more common to say I want a sandwich, instead of, I wish to have a sandwhich.

I wish to avoid the traffic. I wish to inspire others. I wish to improve myself. These are phrases I use daily.

You can, though it's very formal and not so common. Check here: http://www.englishgrammarsecrets.com/wish/menu.php

You can... but I have no idea what you're talking about.