Assuming single with no kids, you'd get:

Gross 60.000,00 €

Net 37.209,78 €

Taxes 11.262,97 € (includes 929,97 € church-tax that you can get rid off by leaving your church)

Pension insurance 5.580,00 €

Unemployment insurance 780,00 €

Health insurance 4.847,85 €

Long-term care insurance 1.249,37 €

Those are all the compulsory insurances.

Having a partner in marriage who earns less than you and / or children will increase your net.

For the average German in your average City that's somewhere between just short of wealthy and wealthy. There are poorly paid IT specialists who earn gross what you would take home net. It's definitely enough that you can live quite good if your significant other works too and more than enough to raise a family. The median household income in Germany is 42k gross.

Also remember this is only the employee side of what you cost your employer, because they'll have to double up your insurances, so you would cost them 75k a year.