This is a surprisingly general question, because not all Russian speakers who use English have the same pronunciation issues at the same level. Why not record yourself and post a link in the Discussions section? You only need to speak for about 30-60 seconds. Specific advice would be better than general comments, don't you agree?))

How do you recognise a Russian accent? I find that the missing articles are the first clue that the speaker is Russian! If you do not have a particularly noticeable accent then stop worrying would be my advice.

Be youreself, no matter what they think! Having an accent means you are speaking naturally and not trying to mimic any body else accent and that's genuine and much appreciated...

arnold schwarzenegger, Jackie Chan, Jet Li, Bruce Lee, etc. All these people are successful because they work hard and accept themselves as they are and I enjoy and watch their movies for the same reason. Our accents are a part of who we are, they are unique and are no mistake. It is good to speak clearly, each word distinguishable but this can be achieved without losing or being uncomfortable about your accent.