The brakes and the tire treads.
The bearings don't need friction, but everything else does. It there wasn't any friction it'd be impossible to bolt anything together.
Tires, grips, pedals and brakes needs to have high friction, while all rotating parts needs to have low friction.
I'm not too sure about the advanced physics of this, but I know that it is desired for Maglev trains to not touch the track so that their speed can be maximised, and so there is no wear and tear of the track and contact. The speed would be maximised because if you don't touch the track there is no friction. Even wheels are slowed by friction so the only way to completely eliminate it is to have no friction.
the gears and where the axis of the wheels
Oil can reduce friction between moving parts, and protect exposed metals from rust.
The brakes! And the tires (no friction = no traction).
In the bearings, where you want as little friction as possible.
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The bearings
friction makes riding a bike possible. When the tire presses on the ground, friction acts against the rotation of the tire, fixing the lowest point of the wheel on the floor. This force is transmitted to the axel of the wheel and is what propels the bicycle forwards.
Because friction stops momentum of force from moving the bike
Friction and leverage.