Yes, I narrow down the us stock market to a way smaller list of quality growth stocks to engage with. I only trade in names which fulfill the following criteria: Effective Market Cap >200-250M $; Price >7$; Shares/float ratio <20 (I violate this occasionally); Average Daily Dollar Volume > 2-3M $. I also want to see strong fundamentals in either forward EPS and current quaterly sales.
You can also use our Stock Quality Checker for that purpose: