If the operator wants all training, you might list it, but in most cases, they're looking for relevant training. Generally only formal education and type-specific.

If you've been flying for an airline, it's obvious that you've been through their training, recurrent, etc. If you've been flying for a corporate department, you. might cite the flight safety or simulflite date for a type, but be reasonable. If you attended home depots bob-the-builder paint mixing class, it probably doesn't need to be on there. If it's relevant and it helps your position, by all means.

If it's something that could come back to bite you later if revealed, then it needs to be revealed up front. You might have flunked out of Suzy Sainthouse's School of Scaled Ballet and done a career change; list the school. Maybe.

If you happened to miss one of your flight safety international recurrent classes, probably not a big deal, because it's a given that you would have been attending them if you've already cited the training for that employer.

If you've been hired and forgot to put it there, or have received a conditional job offer ("CJO" for the selfie-snapping children here), the company has already made their decision based on the information that you provided and you're aboard. At this stage, unless it's something that will surface and torpedo you later, and especially if it's something that would only be of ancillary work in painting a better picture of you to help you get the job, let the sleeping dog lie. It's had a hard day.