To do a comprehensive job of aligning FM tuners you really want a generator designed for that job - especially if you want to verify or align FM stereo multiplex decoders.
One example of a relatively modern unit is the Sencore SG80.? Unfortunately, because it is so good for the task, the asking and selling prices for them are rather high.
There are other generators specifically made for the task as well.? There is a class of generators - sometimes called "standard" signal generators - specifically intended for servicing radios. They are modern, solid state, accurate, and reliable. There are many models from companies like Leader, Panasonic, Kenwood, Kikusui, Meguro and others.
Alternatively, if you like lab grade equipment and envision general use of the generator as well - particularly if you want frequency coverage to 1 GHz or more,, there is one good choice - the Rohde & Schwarz SML/SMV series with option B5.