1.travel round the world; go on a world tour;
2.travel the whole world over;
3.a swing around the country
5.Set out on a journey round the world
6.He is going to make a round-the-world tour
7.He has travelled all over the world .
8.They have knocked about all over the world.
9.He has travelled(over) the whole world.
10.He wishes to journey round the world.