Both are really nice everyday bags- tough decision. I tend to lean toward the Goyard because it is not as common. My LV SA told me the neverfull is their best selling bag- it is even more popular than the Speedy now.
for me personally (I have the LV Neverfull), I love my Neverfull. But what I like may not be right for you. I'd make sure to consider the price (I think the Goyard tote is $300 more? And that's before customizing?), care, uniqueness/color. The neverfull is pretty sturdy, but the handles of course will oxidize. The goyard tote also comes in more colors than the neverfull.
It's funny that you mentioned Neverfull. When I was out shopping on boxing day, at least I was about 20 - 30 people wearing that bag, I am so SICK of seeing that bag it's not even funny. This bag has become a 'speedy'.
Nothing against LV since I used to be a huge fan before, not anymore!