Arsonists set fire to a wheelie bin in an alleyway which spread to a garden fence and garage of a home in Chichester Close, Bicester.
A shed in Campbell Close was also hit in the blaze at about 1.30am on Saturday.
Anyone with information can call police on 101 or contact Crimestoppers anonymously on 0800 555 111.
Comments: Our rules
We want our comments to be a lively and valuable part of our community - a place where readers can debate and engage with the most important local issues. The ability to comment on our stories is a privilege, not a right, however, and that privilege may be withdrawn if it is abused or misused.
Please report any comments that break our rules.
Read the rules here