How to determine which bridge rectifier to use
For long term reliability, it is standard to use components that are rated for twice the parameter that the component will see.  For example, if the peak input voltage is 15 V, use a bridge rated for at least 30 V; 50 V is a common value.  Current for a single LED isn't an issue, but if the load were 1 A, then try for diodes or a bridge rated for 2 A.

Usually using something even more overrated is not an electronic issue; if you have 200 V bridges getting dusty on a shelf, and they fit physically in the available space, use them.  Yes the forward voltage Vf will be slightly larger, but at 20 mA the increase will be millivolts.