These two quarks plus with the electron are all that is needed to make most things we normally encounter. The other quarks only occur in exotic matter that is rarely seen under normal conditions. Family 2 has the strange and charmed quarks. Family 3 contains the bottom and top quarks. The top quark is the heaviest and this fact meant it was only recently that particle physicists were able to prove its existence.
Current theory suggests it is impossible to observe a free quark.
Any attempt to free a quark would release just enough energy to create a quark and anti-quark pair. One member of this pair would bind to the quarks that remain and the other member would bind to the other fragment. Instead of creating a free quark, all you have accomplished is splitting a hadron into two hadrons. All eight-fold way particles, all hadrons, are believed to be composed of quarks. Hadrons are divided into two groups, baryons which are composed of three quarks and mesons which are composed of a quark and the corresponding anti-quark.