Yeah, but there is no training like the real thing. You should see some of the hunks of trash we take flying. I flew aging F-14As and every flight was a string of emergency procedures. :)
Obviously, we don't train on jets, they tend to be exceedingly expensive for a university to purchase. We do have a CRJ-200 and A319 sims though. However, airlines have adapted their training routines to the new hires they are training (coming through four-year flight degree programs or other aviation schools), most of whom have little or no turbine experience. I know a couple of friends who have caught on with a regional and they go through some pretty serious stuff in their initial training in the air.
Do you still dream of your breaker sequences? LOL.