155-80r13 only comes in General tyre brand or chinese, the alternate size with the same height is 175-70r13. So look into that. With 165-70r13 the height of the car will decrease as the second term (70) of the tyre size is the ratio of the first term (165). 175-70r13 provides the ideal height.
Recommended tyres Dunlop, Yokohama.
Michellin not recommended due to very soft side walls which increases the chance of getting damaged easily.