That's an exceedingly generous view in favor of Republicans. The vast majority of the 'bipartisan' bills passed by the House were on uncontroversial issues that were eventually passed by the Senate anyway. There were very few bipartisan bills of substance that Reid blocked, primarily because there were very few bills of substance that the House would pass that could attract any Democratic votes.
So yes, both parties have on occasion done this and it's a bad thing. The idea that there were a 'shit ton' of these that Reid blocked is a partisan fantasy though.