I like being married is correct if you like the state of marriage.
I like to be married sounds wrong. However I'd like to be married is correct if you are not married and would like to try it.

As someone else said:
 I like to eat <....> is the food you enjoy, and I like eating <....> sounds more like you enjoy the process.

I like being married

is correct if you like the state of marriage.

I like to be married

sounds wrong. 

However

I'd like to be married

is correct if you are not married and would like to try it.

As someone else said: 

I like to eat <....> is the food you enjoy, and I like eating <....> you enjoy the process of eating

I like being married is correct if you like the state of marriage.
I like to be married - sounds wrong. However I'd like to be married is correct if you are not married and would like to try it.

As someone else said:
I like to eat <....> is the food you enjoy and I like eating <....> sound more like you enjoy the process

I like being married is correct if you like the state of marriage.
I like to be married sounds wrong. However I'd like to be married is correct if you are not married and would like to try it.

As someone else said:
I like to eat <....> is the food you enjoy, and I like eating <....> sounds more like you enjoy the process.