I never had any major problems either. People exaggerate how bad the glitches are.
I think I only ever had one major problem with New Vegas, that being a main character for a quest dying so I couldn't complete it. Everytime I went back to the area his body would still be there with the mutant I had to speak to unable to say anything else. Rather annoying, but I still played the game.
I also had a few times where I would fall through the floor, or get stuck in rocks. Same with enemies.