I don't have a list. I've been somewhat long distance for the past 5 years on one property and have experienced only one problem as a result of not being local.
In summer 2014, the tenants complained of water coming out of drain in the basement and made the carpet wet. It was in a finished basement, within a bedroom. I called a plumber and they said it was fixed. The same problem happened 2 more times, costing me about $1500 in new carpet, cleaning fees and plumber fees.
When I finally got the property and watched what happened when it rained, it was not water coming out of a drain. It was a failed gutter that was pouring water along the foundation. The water was sinking along the foundation, making the carpet wet in the finished basement and actually going down the drain, not coming out of it. If I was local, this would have been a one time $500 repair for cleaning and carpet. However, because I was not local, I got to repair it 3 times.
