St. Peter’s was the most impressive, and has amazing art inside. I’ve seen many other very impressive cathedrals in Europe:
A favorite is Notre Dame in Paris
Gail already mentioned Chartres (see stained glass windows).
Domkirche St. Stephan, Vienna
St. Vitus Cathedral, Prague
Kölner Dom, Köln
Siena Cathedral
La Sagrada Familia, Barcelona
And in the USA:
Saint Patrick’s Cathedral, New York City
Impressive non-cathedrals:
The World Trade Center was amazing to go up on the roof of. It definitely gave the impression of being in another part of the atmosphere, like being in a plane but able to walk around. Moreso than other skyscrapers I’ve been in (which make you stay inside) such as the (formerly-named) Sears Tower. It didn’t quite feel right.
The Empire State Building was also impressive and I liked it more than other skyscrapers, though some others are taller. It also lets you step outside.
I was impressed by the King Dome in Seattle before they blew it up to collect corrupt money from building two more stadiums, but the detonation was also impressive.
Of course, being impressed by a building is one thing, but enjoying and appreciating and other impressions one can get from traveling seem to me even more the reasons I choose to travel, and make up more of the benefit of it. Leaving my own familiar places and culture give me the experience of a whole other way of life and thinking, just by walking down a street in some other country. Firenze (Italy) for instance is a particularly rewarding place to visit, and sure there are some impressive things, perhaps mostly just seeing most of the city from the hill on the far side of the river, and yes it has a world-class museum and several others and amazing churches… but walking through the streets or along the river are what I treasure most. (I don’t recommend trying to drive their, though.)
And, both for impressions and for being impressed, I still find nature beats all human efforts, and makes me sad that we have destroyed so much nature for so little in return, especially with our crude short-sighted commercial developments.