Rights of way can be very difficult indeed to sort out.
"It said on the title plan that it was from the 1960s. The new houses surrounding it are now nearly 20 years old."
It may be that the right of way was inherited by those houses that have been built on the same land as the old houses.
Or it may not. Depending on exactly what was done before the new houses were built, it may have been extinguished if a single developer bought all the old houses.
Without looking in detail at the history of the ownership of that piece of land you're never going to know for sure.
"Not sure if I'd be able to get the right of way removed as surely in time things change."
Again, it depends. Depending on what happened in the past with ownership of the land then the right of way may have been extinguished at some point anyway if the land came into common ownership, regardless of what any deeds may say.
However, if it has not been extinguished then it is very difficult indeed to remove a right of way. You have to prove that it has been "abandoned" and that is very difficult to do.
Just because it isn't being used doesn't mean that it's been abandoned. The person who has the right of way over that land has to do something positive to show that they have abandoned it permanently.
There was a notable case in 1992 that went to the Court of Appeal (Benn v Hardinge). In that case, the right of way had not been used for 175 years but it was held still to exist.
But if you were to buy the land and build something substantial that blocks the trackway (eg maybe an extension to your house) and the person who has the rights to use the trackway did not intervene then they may be prevented from asserting that the right of way still exists.
It all gets very complicated.