Types of weather events matter a great deal, too, when it comes to the confidence with which researchers will factor in global warming.
The simplest correlation is with heat waves, which have been increasing in both frequency and intensity as average temperatures overall have risen around the globe.
Large-scale precipitation events can be relatively easy to attribute as well, since warming of both air and sea surface temperatures plays an important and easily understood role. Droughts, too – especially those fueled primarily by increased heat.