Some suggestions, if you still have energy.
You will find these places on a Google Map: http://bit.ly/1kSRVd2
Judging from photos, some have already visited Ateljee Bar at Hotel Torni that has great views over the downtown: http://www.americanbar.fi/en/ ; Yrjönkatu 26. – Restaurant Loiste has also nice views: http://www.ravintolaloiste.fi/yhteystiedot.html; Kaivokatu 3.
There are a couple of boats serving as pubs in differemt parts of Helsinki: Flying Dutch is on the way from Metsätalo to Paasitorni Congress Centre: coming from Metsätalo or city centre, you will see it on the left side of the bridge. – Another boat, actually a floating lighthouse, is Relandersgrund near Market square.
Kappeli is a bar and restaurant rich is tradition. It is located in Esplanadi Park near Market Square. http://www.kappeli.fi/index.php?id=23 In the other end of the Esplanade is the white building of the Swedish Theatre that houses a complex of bars and restaurants called Teatteri http://www.teatteri.fi/ (North Espalanade 2)
There are several restaurants on islands around the city. Restaurant Savu has a bridge connection as is an easy walk from the city centre. http://www.asrestaurants.com/EN/restaurants/savu/presentation.html
We’lle come back with more suggestions!