How do I get to Outlands without Draenor?

Normally, you should have a quest which tells you to speak to a mage in the portal room. The mage should teleport you just outside the dark portal, and walking through it should take you to outland.

How do I get to zangarmarsh?

From Falcon Watch in Hellfire Peninsula, follow the path west past the Cenarion Post and Thornfang Hill to reach Zangarmarsh. Continue following the path to reach Cenarion Refuge. From the Cenarion Refuge in Zangarmarsh, follow the path south, past Umbrafen Village into Terokkar Forest.

How do I get to old Outlands?

If you're high level, there's a portal to Shattrath in shrine of the four winds. If you're level, then there are portals in Orgrimmar (The Drag, specifically) and in Stormwind, (I believe in the mages tower) that take you to Hellfire Peninsula.

Is there a portal in your garrison?

Level 1 and 2 Garrisons will provide access via a flightpath to Ashran, while a Level 3 Garrison will provide a direct portal. To the best of my knoweldge, this flightpath is unlocked as part of a level 91 quest. Alternatively, you may visit someone else's Level 3 Garrison and use it's portal to Ashran.

How do I get back to Oribos from Orgrimmar?

Once you have completed the questline to get to leave the Maw and got Highlord Bolvar to Oribos, you get a quest “A Doorway Through the Veil”. Once completing this quest, you will open a portal To Orgrimmar. This portal will lead you to the portalroom Pathfinder´s Den in Orgrimmar.

How do I get to Outlands without Draenor?