I assume this means you've never seen any of the animes.
There's a full timeline HERE.
The short version is:
In 1999 an alien ship (belonging to a group known as the Supervision Army) crashed on Earth. We rebuilt it, and named it the Macross.
Ten years later, space ships belonging to the Zentradi showed up. They're a race of genetically-engineered warrior clones with no civilization. And they're at war with the Supervision Army.
Our ship automatically fires on theirs, due to a booby-trap left in the computer by the previous owners. This starts a war between humanity and the zentradi.
Eventually, the main fleet of the zentradi forces that have had contact with humanity arrives to exterminate humanity and the zentradi that have been "contaminated" by human culture.
Much of the Earth is decimated by orbital bombardments. But we win the war, with the help of the "contaminated" zentradi, who are accepted into human society.
And in 2012, we launch the first of a series of space colonization missions that cintinues through to VFX2's 2050, to spread humanity among the stars and ensure that we can't be wiped out by an assault on a single planet.
That's the original TV series, which is the most complex and most important to the continuity.
In 2040, a computer pop star known as Sharon Apple tries to take over the Earth by brainwashing everyone. She is killed by test pilots Isamu Dyson and Guld Bowman, in a pair of prototype variable fighters.
That's Macross Plus.
In 2045, one colony mission, the Macross 7 fleet, encounters a group known as the Varuta, which are an army for a race known as the protodevlin. Rock star Basara Nekki saves the universe from them.
That's Macross 7.
There's also a prequel series known as Macross Zero, that takes place pre-2009, but it's not relevant as VFX2 was written before Macross Zero.
I don't know what VR3 is. I would assume you mean Macross M3, which was a Dreamcast game.