Unless there is something wrong with the font interpreter, there isn't anything inherently wrong with this result. A lot of font design involves small tweaks to the font, including extensions below the baseline. This particular tweak to a digit isn't familiar to me, and I wonder what the font designer was thinking.
Which font/typeface? I've read numerous blogs and articles on fonts and my only recommendation is to keep looking for one you like. There are too many characteristics to easily catalog and find one that matches a rough description.
If you look at the Adobe Type 1 spec, page 24 (page 30 of the PDF), you will see an example of what you are seeing in the drawing. The spec is the first document I included a link to.
"The baseline overshoot position is the minimum y coordinate
just below the baseline that round parts of characters at the
baseline reach. A value of -15 is typical. Note that curved characters
typically extend slightly below the baseline; as a result
this value is typically negative."
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