I feel ...., I am confident.... etc, I would like the interview... ( of course I would like, it is obvious)
I just do not want to use these kind of OLD conventional phrases in the letter. My letter would be ok without this stuff?
H/R is so used to conventional style, would they read my letter? Plus who reads the letter? HR people or the director/manager of the department? H/R people do the screening? and good letters/resumes go to director? - (For a position advertised on H/R website)
Finding out name of the relevant person (if it exists) and directly giving them the resume is considered "back door" or front door, normal? At least that is what I read here that give the resume to directly to hiring authority if you can, instead of HR. But then different people would see it differently? or not?
And English is my third language. I don't want to take risky steps. Do you know some templates, nice unconventional style, safe yet new, opening and closings?
I don't understand why you would want to write something unconventional for a cover letter. A business letter is a formal document, with a lot of emphasis on having it look and sound a certain way. This isn't the place for an unconventional ("Hey, Dude, here's my CV!") approach.
Write your cover letter to the person you are sending it to, and don't use "Dear Sir or Madam" in the lead line. "Dear Ms. Smith" works so much better. Then, put in three paragraphs, with the second one dealing with an example of an accomplishment you've had. Read the Tooling Up columns on cover letters.