oh, sorry, i just looked it up. you are right. austria does allow time limited contracts. 3 years is the minimum, however. you can't have shorter time limits. also after the first year the tenant may terminate the contract any time (with 3 months advance notice), the landlord may not. and there is another interesting detail: time-limited contracts must be 25% less than comparable unlimited contracts. this however is rarely enforced unless the tenant notices. (they can get back overpaid rent for up to 10 years).

germany doesn't allow time limited contracts. there are only two exceptions. a time limited contract is allowed if the landlord can claim to need to use the property themselves after the end of the contract (which they can only do if they don't have multiple properties to rent), or if they have plans to tear down or renovate the building.