How to make repeatable Op-amp amplifier circuit
Look at section 8.10 in the data sheet.  The part you have chosen to use has an input offset voltage of \$\pm 0.3\mathrm{mV}\$ typical, \$\pm 2\mathrm{mV}\$ worst case.  Your output offset voltage in an amplifier like this is your non-inverting gain times the input offset voltage -- so you're looking at between \$\pm 30\mathrm{mV}\$ and \$\pm 200\mathrm{mV}\$ of offset.

I think that you're lucky to have a yield of 60%, although the picture may be more grim if you did your measurements over any sort of a temperature range.

On the bright side, with input bias currents in the pA and gain-setting resistors in the k\$\Omega\$, you don't need to worry about offsets from the input current + your mismatched resistors, or from input current bias.

You need to build some offset correction into your circuit, and run the numbers (or do a lot of testing) to verify that the drift over temperature will be acceptable, or you need to choose a part that has significantly better voltage offsets without too much input bias current or input bias current offset.