There are two excellent routes on the Eiger: Mittelleggi and South Ridge.

By Terra3 - Own work, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=5181534
Eiger North Face

In September 2007, Mark and Charles Sherwood climbed the infamous north face by the original notorious 1938 route, and also traversed the peak. This climb capped a many year adventure. It was only the second ascent of this historic route by a British guide and his client, and the first without helicopter assistance.

There are two excellent routes on the Eiger that are realistic aspirations: the ascents of the beautiful Mittelleggi and South Ridge routes. The preparation itinerary for the Matterhorn also works very well for these two routes.