Examples of quasiparticles are phonons, magnons, plasmons and electron holes in semiconducturs. You can google them up if you want to read more about them. They are things that behaves as a particle, but is not made up of elementary particles.
Resonances are (long lived in comparison)excited states of a comosite system, for instance the Delta+ particle (baryon) is an exicted state of the proton, have same quark compostition but larger rest mass. And you have this with mesons, for example the rho and omega meson.
I hope this helped you a bit, cheers!