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I usually get to this one from the Kingston Peak Trailhead, off of Mammoth Gulch, outside of the town of Toland. This road stays snowed in pretty late in the year, so don't expect to get all the way to the trailhead. This trailhead is also accessible for the masochist from St. Mary's Glacier. Walk downhill towards the lake and climb back up to the bottom of the east Face.
Another access point is from the East Portal Trainhead by the Moffat Tunnel. You can take the Boulder Creek trail towars Heart Lake, then head south along the divide to the all the way to the top.
Access from the lower Mammoth trailhead isn't very good, as the terrain bushwacking up the valley is notoriously swampy.
It's also possible to walk to the top of James from both the south and the north. From the Kingston Peak trailhead, walk up the obvious trail to the top. To walk up from the north side, take the Boulder Creek trail towards Heart Lake and then head south along the ridge instead.
This picture was taken in mid June, the tent in the foreground is mine. I recently (late July, 2011) climbed James Peak again, and took new pictures as it was in excellent condition. Those are available here.