Netflix (UK) has all (?) the Ecclestone and Tennant episodes plus a selection of 18 Old Who episodes (which are all First/Second Doctor stories. On checking, they are:
An Unearthly Child
The Daleks
Edge of Destruction
The Aztecs
The Sensorites
Planet of Giants
Dalek's Invasion of Earth
The Rescue
The Web Planet
The Time Museum
The Chase
The Ark
The Gunfighters
The War Machine
Tomb of the Cybermen
The Abominable Snowmen (one episode only)
The Dominators
The Mind Robber
That's an odd mix of some of the ebst stories and some of the worst (avoid, at all costs, The Gunfighters and the Time Museum. The Dominators has the worst "future" costumes ever seen). Quite a few of those, however, are on my recommendations list.