Can I safely uninstall Flash and Facebook apps? From this question I known how to remove vendor installed apps. 

However is it safe to uninstall Flash and Facebook? I guess that the Android browser depends somehow on Flash and might brake after I remove Flash package.

I simply want to have more space for other apps and don't want to be reminded every time about updates for Flash and Facebook.

Update:
From my point of view both answers are correct. In general it is not safe to uninstall vendor installed apps. However my HTC Desire won't have any new OTA updates so in my case is it safe to delete them. 

I just found out that latest ROM update (with Android 2.3) for HTC Desire isn't available as OTA update, you have to install it manually. And Facebook app is already removed from the ROM.

Unfortunately I cannot mark both answers as correct therefore I choose the answer with higher number of votes as correct one.
@roxan is incorrect, it is NOT safe to remove stock ROM apps.  If you do so, any future updates from your carrier/manufacturer will not install.

A much safer method is to use an app like Titanium Backup to 'freeze' the apps, preventing them from being seen by the system and running/being updated.  If you really feel the need to uninstall them, you can use Titanium Backup to back them up first (requires root).  That way you can restore them from backup in the future if you need to apply a ROM update.