You have a good list of anime you have started on. Never too late to enjoy something new :-). From your list I especially enjoyed Charlotte.
Hi Newbie_anime_lover -
I am also a new lover of anime. My co-worker shared the manga - Please don't bully me, Nagatoro and something woke up inside me. Now I'm trying to find anything and everything I can binge.
I would recommend Cowboy Bebop and FLCL (Fooly Cooly) if you haven't seen them already.