I have been to Svalbard twice (July and August) and once in Franz Josef Land (July).
I never saw puffins, not even one single bird, but a lot of other birds.
I saw a lot of walruses, very few seals.
On all trips I saw polar bears, from the ship on the ice and in the water, some very close. From the zodiac (me) and the polar bears on land.
On Svalbard I did a lot of hikes, also long ones (always a guide with a weapon to protect from the polar bears has to be with the group).
Once we had a situation, where we saw a group of polar bears during a hike far away, so we had to turn around go back to the ship, and approached the bears by zodiac.
I once saw a big group of whales feeding, this was a spectacle.
I saw a group of beluga whales.
I saw polar foxes.
In Svalbard I visited historical sites, research stations and Barentsburg (a Russian Coal Mining town).
I saw a lot of landscape, glacier, ice and tiny flowers.