I'm a big Macross fan and I love SDF Macross, Macross Do You Remember Love?, Macross Plus, and Macross Zero. I've seen much of Gundam, including MSG Movie One, Gundam 0080, Gundam 0083, Gundam the 08th MS Team, Gundam Wing, Char's Counterattack, Gundam F-91, and a good smattering of many other Gundam series.
Out of it all, I found the six-episode OVA Mobile Suit Gundam 0080: War in the Pocket to be an incredible series and by far the best dramatic show of any Gundam series. I'd definitely recommend it, though watching a lot of other Gundam would help you understand the series just a little better. Nonetheless, Gundam 0080 is one of the most independant, self-contained Gundam side stories in the main continuity of the Gundam animes. I can't recommend it enough.
If you liked Macross Plus, there's a good chance you'll enjoy Gundam 0080.