i'd suggest Macross DYRL, Macross Plus, and Macross Zero roughly in that order... because they are all short OVA or a movie.
So you can consume them all in short order.
Macross DYRL (Do You Remember Love) is more or less just a retelling of the 1st series, or rather to use the term of their explanation... imagine if they made a movie about the 1st series for the people in the Macross verse itself, and Macross DYRL is what you get out of it.
Macross Plus is the fan favorite (mainly because it is where YF-19 Excalibur which is the Macross fan favorite design came from) and while it's quite old by now it's animation back during it's age was impressive. Timeline wise it's after the 1st series, but before every other Macross series except Macross Zero.
Macross Zero was one of the first Macross show that is done very heavily in CGI (so it looks really good not to mention it was an OVA so the quality is miles ahead of the long series animation quality), but the show itself is actually prequel to the 1st Macross so it's actually the 1st one timeline wise. Also the 1st appearance for VF-0 Phoenix.
Oh, incidentally don't call them veritech when asking about it in Macross forum (the name veritech only existed in robotech and some of the hardcore fans of Macross get incensed when they hear the term applied to Macross only valks which are pretty much EVERYTHING except the valks from 1st series)