Planter's Club

Palm trees, leather armchairs, dark wooden furniture and ceiling fans certainly make this cosy bar that was built in the image of a 19th century colonial club, look the part. The list of cocktails is impressive, and with a basket of homemade crisps and soft Jazz music playing in the background, nothing stands in the way of a nice and relaxed evening in an attractive setting.
(Note: menu has a separate section on various - also rare! - rum and whiskey brands; happy hour is Mon-Fri, 5-7pm)

Planter's Club
Zelinkagasse 4
1010 Vienna [to find on Google Maps, click here]
Phone: +43-1-5333393-15
Opening hours: Sun-Mon 5pm-2am, Thu-Sat 5pm-4am
http://www.livingstone.at/en_plantersclub.htm

blueorange

If you are looking for bagels in Vienna - this is the place to go. The shop / café has as many as 12 different kinds of bagels which may be ordered toasted or as is, and with a variety of different toppings. Fresh fruit salad, Belgian waffles, and milk shakes complete a menu that is rich in content, and breakfast is served until 9pm!
(Note: some bagels are also available as lactose- and glutenfree)

blueorange
Margaretenstrasse 9
1040 Vienna [-> to find on Google Maps, click here]
Phone: +43-1-5811770
Opening hours: Mon-Fri 7.30am-10pm, Sat-Sun, holidays 9am-9pm
http://www.blueorange.co.at/ (website in German only!)

Demmers Teehaus

This tea shop in proximity of the old city centre celebrates its 30^th anniversary this year. Originally founded by an Englishman, this shop sells everything from different teas to marmalades, colourful cups and tea pots (some of which in fantastically odd designs), as well as little guides and booklets on the comforting world of tea.
(Note: due to recent events - and subsequently more interest in this topic - staff are more than happy to answer questions on the origins of their teas as well as on the existing supply of tea from Japan)

Demmers Teehaus

Mölker Bastei 5

1010 Vienna [-> to find on “Google Maps”, click here]
Phone: +43-1-5335995
Opening hours: Mon-Fri 9am-6pm, Sat 9.30am-1.30pm, Sun, holidays closed!
http://www.demmer.at/ (website in German only!)