Even with Prop 13 our tax rate goes up 2% each year which is plenty especially since they pass parcel tax after parcel tax for the Children. We bought our house in 98 and the taxes were $3,000.00 now they are 6K. In my area the homes which are 1954 era 1000 sq. ft. go now for about 750,000.00. The taxes would be about 9K which includes the base tax rate of 1% of the purchase price (7,000.00) and the rest are parcel taxes. I cant afford to move to another Calif home I would not be able to afford the monthly payment and have doubled tax rates. California is a joke but prop 13 is helpful at least.
I believe when Prop 13 was passed it limited a yearly increase of 1% but stipulated that assessments that property owners voted for would not be limited by the 1%.
Looks like that limit of 1% has basically been doubled by voters but that would probably depend on the district or area you live in.
Until Prop 13 was voted in our property taxes were increasing 5% to 6% a year as I recall, it was outrageous.