This is something for bad weather or tired legs. So if you need a break from exploring the town you can check out the films running at Solaris.
There are two cinemas in the centre, the Solaris kino and the Artis kino. The first one shows the usual Hollywood stuff while the second one shows some more unknown and special films.
You can find the solaris kino when you ride the escalators in the atrium to the second floor. Artis is a bit more difficult to find: if you enter from the Estonia puiestee side, pass the atrium and walk to the very end of the centre, turn right before the Ticketpro office and climb up the stairs. Coming from the Rävala puiestee side just enter the centre, turn left and you find the stairs there.
Check out the website below or this link.
Generally they don’t make a fuss about you bringing your own food and drinks as long as you don’t display them too openly.