The one on the right is a machine screw. The one on the left is "tapered" or tapping for wood, plastic etc
These guys (below) in the UK have M1, M1.2 and M1.4 in various lengths from 3 to 6 mm. From your photos the screws look slightly larger than 1mm (measured by marking a piece of paper from your scale).
They don't have tapping screws thinner than 3mm but they may have something with the larger thread pitch.
Unfortunately they only sell in bags of 100. You might try contacting their sales department and perhaps a friendly sales rep will send you some samples.
Machine Screws - Pan