And yes, I guess you were talking about communism w/ a small c. Saying Jesus was a communist is a pretty big leap.
Acts 4:32-35:
32 All the believers were one in heart and mind. No one claimed that any of their possessions was their own, but they shared everything they had. 33 With great power the apostles continued to testify to the resurrection of the Lord Jesus. And Gods grace was so powerfully at work in them all 34 that there were no needy persons among them. For from time to time those who owned land or houses sold them, brought the money from the sales 35 and put it at the apostles feet, and it was distributed to anyone who had need.
No individual ownership of property, "from each according to his abilities, to each according to his needs"... sounds pretty communistic to me.