There is a 'Wine route' around many of the quite attractive villages.
It might appeal?
http://www.alsace-wine-route.com/en/201000049-From-the-Northern-Vosges-to-the-Wine-Road.html
It's a resaonably popular skiing area for the locals in the winter. They open the pistes to mountain bikers. If you are fit (or simply brave / stupid) hire one or two for the day. Failing that, the many of the chair lifts etc will be open, as will the cafes etc. on the top.
I created a whole bunch of routes, lifted, cut, stolen from a whole variety of sources. You'll find them here on UKGSer.
The village of Turckheim (where we have stayed several times) has a resaonably good 'amateur' museum, detailing the battles of WW2 that raged around the 'Colmar pocket' through Christmas 1944 into early spring 1945. It's worth a drop in if you are passing.
http://musee.turckheim-alsace.com/english.html
One idea... It's a comfortable day's ride from (and back to) Colmar to the Rhine Falls at Schaffhausen.
http://www.rheinfall.ch/home?lang=en-us
We went there last year, taking a reasonably direct route, coming back across country / bottom of the Black Forest, just hacking out a twisty route from a decent map. It took ten muinutes to work it out, standing in the carpark at the falls in a rain storm.
The Black Forest is not far away obvioulsy, but everyone goes there.... don't they? The Vosges cover a smaller area but offer some great riding / views etc.
Ooops, nearly forgot... Mulhouse houses the French National Car Collection....
http://citedelautomobile.com/en/home
and their train museum, too.
Oooops, nearly forgot 2: If you visit the excellent museum at Le Ligne, they will show the film in ENGLISH if you ask them to. It's worth seeing the film as it explains what you are looking at in context of the whole German / French battle to stalemate in WW1 through the whole region.