Fasteners and hardware
Metric bolts are specified by shank diameter in millimetres (M6, M8, M10) while US hardware is fractional-inch (1/4, 5/16, 3/8). They are close enough to start threading and different enough to strip — an M8 is 8 mm, a 5/16 inch bolt is 7.94 mm, and neither belongs in the other's hole.
Machining and 3D printing
CAD files circulate in both systems. A part drawn in inches and sliced in millimetres will print at the right size only if the conversion happened at import; a silent unit mismatch shows up as a part exactly 25.4 times too big or too small.
Drill bits and tapping
Tap drill charts are published in both systems, and the nearest metric bit to a fractional one is often within a few hundredths of a millimetre. Converting first tells you whether 'close enough' really is — for a clearance hole it usually is, for a tapped hole it usually is not.
Rainfall, tyres and thickness specs
Tyre widths, sheet metal gauges and rainfall totals are all quoted in millimetres internationally. A 225 mm tyre and an 8.86-inch tyre are the same tyre, but only one of those numbers appears on the sidewall.