Cars and planes don't "lose" electricity when their engines are running; otherwise their batteries would be constantly overcharged. Hybrid cars just have more powerful alternators.
Hybrid cars don't necessarily have an alternator in the sense that an all gasoline car does-- for example, Toyota's hybrid system uses a pair of motor/generators (electric motors which can be configured to generate power too) connected to each other and to the gasoline engine through a planetary gearset.
Electric motors and alternators are mostly equivalent, the difference is that the diode assembly on a car alternator would stop you from using one as a motor. Otherwise, they are roughly identical.
That you don't find a 'traditional' alternator in an electric or hybrid car is simply because the electric motor doubles in that role when required.
Almost all electric motors when spun will generate power, you'd have to do some work to get one not to generate power when driven.
AC induction motors are the most common type of motor for anything other than small electronics and turning one by hand will not generate any output power. They are definitely not identical to an alternator. The armature of an induction motor doesn't have an associated magnetic field so turning it won't generate any power in the windings.
Permanent magnet motors are the only motor that will generate power if you just pick one up and turn it by hand, and they are quite rare (and expensive) at scales larger than a RC toy motor