As google search results (search term: ssh client online) there looks to be some options like http://www.serfish.com/console/ and http://sshterm.com but in this case, a simple google search is not enough.
I prefer to be sure about the sites' trustability. I prefer such a service from famous and trustable companies like google if exists.
Can we be sure about the safety of such a service? Do you know any service from important and well known service providers?