Steve .... I work hard all day ... when I get home, the LAST thing on my mind is doing electric work, for free, for my landlord!
This contrasts to my neighbor. He 'flies a desk' in the 'chairborne division' of a local manufacturer. Now, he simply cannot wait to get home and tend his garden, work on his car, etc. Must be nice

As for my place ....
I've replaced the service. The bath heater is on a GFI breaker. All receptacles (except for the one in the base of the bath light) are GFI protected. I'm starting on the -major- kitchen remodel, which will address the refrigerator receptacle issue. Outside receps have been added, and I've added to the outdoor lighting. I have relocated the kitchen light switch and thermostat.
All told, I was very happy to get the place with only one code violation - the hacked in refrigerator receptacle. The rest of the electric was in a marvelously untouched condition - quite a feat in a place nearly 70 years old. All the other 'deficiencies' (like the lack of receptacles) were likely in compliance with the codes at the time.