Obviously reverse voltage has to be higher than V+, but are there specific requirements regarding speed and current? Is a 1N400x fast enough? What about a 1N4148?
edit
The question is a general one, but I can pick a relay to make it more specific: the Takamisawa 24SMB is a 24V relay with a coil resistance of \$1000 \Omega\$.
Answer
I confirm that 1N4148 is generally ok for this task, and still have some safety margin (from the peak current prospective). Many people use 1N4148 with even more powerful(=higher coil current) relays without any issues.
Schottky diode could be used here, but it is an overkill.
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