Oh absolutely, the series spans all the way from the late 70s to present day in terms of production years, and it really depends on whether you want to see the story from the very beginning or jump from place to place.

The very fist series is Mobile Suit Gundam. It's 50 episodes of janky 70s animation designed to sell action figures. It does have an amazing story, but it's also chock-full of filler and outright silly content. Helpfully, the series was compressed into three compilation films that clean up the animation a little, remove the filler, and generally make the story a little cleaner. It still looks visibly aged, so bear this in mind. The other mainline series, Zeta and Double Zeta, are similarly 50 episodes each but they're much better animated, if only a little.

If you want to watch some shorter, but much better animated series you can watch the first three compilation films, and then skip straight to War in the Pocket, 0083 Stardust Memories, and 08th MS Team. Char's Counterattack is a fantastic film, but it follows on from Zeta and Double Zeta, so you may be a bit out of the loop as to the story. The latest OVA series, Gundam Unicorn, is gorgeous and can potentially be entered with little knowledge, but it does address several important characters and their lineages so once again may leave you out the loop a little. If you're willing to be spoiled/read a wiki in conjunction, then that should sort you out quite neatly.