You can easily do it by maintaining a list or vector of parents for each node.
If two or more nodes ( say X, Y, Z) at the same distance from the starting node , leads to another node M , make all X , Y and Z as the parents of M.
You just have to add a check to see while adding a parent to the node whether that parent is in the same level as the previous parents.
By level , I mean the distance from the starting point.
This way you can get all the shortest paths by tracing back the parent vectors.
Below is my C++ implementation.
I hope you know how to print the paths by starting from the destination ,tracing the parents and reach the starting point.
EDIT : Pseudo Code
bfs (start , end)
enqueue(start)
visited[start] = 1
while queue is NOT empty
currentNode = queue.front()
dequeue()
if(currentNode == end)
break
for each node adjacent to currentNode
if node is unvisited
visited[node] = visited[curr] + 1
enqueue(node)
parent[node].add(currentNode)
else if(currentNode is in same level as node's parents)
parent[node].add(currentNode)
return