I noticed that there are people who have had similar problems but still none of them seemed to apply 100% to this situation.
I'm using a Linux server and the in-built MAIL function. I've set Alert e-mail to YES.
I'm getting all these e-mails:
- customer e-mails (order confirmation, forgotten password, order status change etc.)
- the contact form (to admin e-mail)
Everything else seems to go OK but:
- not getting any alert e-mails to shop owner (i've tried SEVERAL different e-mail addresses none are getting any)
- not getting any additional alert e-mails (this i don't even need. I just tried this one too incase it would have solved my problem

I have changed the look of the site and changed the language etc. But this same thing has happened from the beginning. Clean install (of version 1.48) in english language didn't send any alert e-mails either. Later i updated it to 1.48b but there wasn't any change to this behaviour.
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If i've understood correctly the alert e-mail to shop owner should be the same as the order e-mail to customer (with the minor exception of the change in the title). I was thinking if there's something "funky" going with the title change? But as much as i've tried to find it... i haven't found the code where this happens.