Looking to have some coffee with some culture? Michaelhouse Cafe is a nice place to go to meet up with a friend. It is located on Trinity Street (right down from Sweaty Betty) and in the oldest part of Cambridge.
I love when there are cafés in churches. There is one in Bath like this. It is still used for worship but really has a welcoming atmosphere. It is a cafe in the St Michael's Church so you get the ambiance of a beautiful church with the comfort of a cafe. The food is made from local produce and is award-winning. It also has plenty of room for buggies.