If we were to try to predict future norms based off current and past events. I would say things will always be different based on geography and culture.
In russia it is basically illegal to be gay, it is illegal to tell children that you can be gay "because it might make them gay as well! ,tis like cooties i tell you!!!"
Many countries who take an anti american or european stance on things have begun enacting homophobic laws that they previously never had. they see the move towards equality and acceptance as a westernization. as Moral corruption. this allows them to paint the west as an immoral culture.
Saying the world is moving towards acceptance is a very narrow view. in many ways it is getting worse, especially as countries latch onto equality as being a western ideal.
There are moves to increase punishments for various sexual offences and to make sure offenders are punished for it, in the past many kinds of sexual abuse were largely ignored by society as a whole and the law.
For example in many places if a prostitute was raped. police would completely ignore it. this is still the case in many countries.
Marriage in many countries used to happen at crazy young ages compared to our views today. It was not until we started legally defining the age of adulthood that laws and protections were put in place to protect young people from making bad decisions or being used by predators.
In some countries children are still married to 40 year olds. usually in arranged marriage situations.
Most if not all moral issues are entirely cultural, geographical or religious in their origins.
Technically we are not moral beasts, society works within a framework of agreed norms. these change over time in response to short term issues.
Using various drugs, alcholol and other substances has, in many places at different times been illegal, usually as a political response to make it look like whoever is in power is seen to be doing something to protect people from lawlessness or define thier regime from the previous one.
If you want to know what will be the state of laws, culture and societal norms in the future. it really depends what happens. Australia has some really good examples of what I am talking about. we have a small population compared to most countries but a strong legal system and active government. so when things happen our government often reacts and creates laws about how we need to behave.
In melbourne a few years ago we had a spate of knife attacks, in the period of like a month there was something like 10+ stabbings. as a result it became illegal to carry pocket knives beyond certain lengths. and of certain types.
Our system moves very quickly to react to things perceived as a threat or wrong or injust.
Other countries seem to move very slowly, but australia is very very young compared to the others. but it has some good examples on the way things change politiclaly and legally based on reaction to stimulus.