My fuel gauge got stuck at about 3/8 of a tank. It was from the sending unit on the left side reading high. I have a how to on XO to fix it yourself. The spring part of the wiper is not pushing hard enough on the resistive surface.

Search awr-fix in the title and you should find it. It's not a difficult fix. I found a BMW service bulletin on how to tweak the resistor wiper. I only saw it once and couldn't find via Google so it was all from memory but it worked like a charm my sending unit snapped into action and has been working perfectly since.

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2011 E70 • N55 (me)
2012 E70 • N63 (wife)