>>220926Most of the Gundam franchise. Start with the original TV anime or the movie trilogy of it, then watch whatever else looks interesting.
Patlabor (7-episode OVA), then the two movies (Second movie is directed by Oshii, so it's a bit intense). Lots of fun characters that are incredibly loveable.
Code Geass (R1 & R2, Akito is terrible). Plot twists, entertainment, and one of the funnest rides anime has to offer.
Dominion (4-episode OVA). Not as mecha as other mechas, but it's still got robots. It's silly and fun and also adapted from a Shirow Masamune (Ghost in the Shell) work, if that gets you interested.
Giant Robo (7-episode OVA). Despite it having a "read the manga" sort of ending, the way the anime progresses and lots of little things here and there make it fantastic, such as a flashback in the first episode that's absolutely phenomenal.
Macross Plus (4-episode OVA). Incredibly animated mech fights. The two main mechs can transform between aircraft and mech at will and the animation for that accompanies those transformations is amazing.
Dangaioh (3-episode OVA). Silly and cheesy. Watch it if you want some fun. It's nothing amazing though.