If you have not bought the ASUS Zenfone 5, you might want to wait a little while. According to ASUS Taiwan, there is a new model of ZenFone 5 which supports LTE (4G). The model is Zenfone 5 (A500KL).
Other than that, the PadFone 2, PadFone Infinity, the new PadFone Infinity and PadFone 5 all supports LTE with PadFone 5 supporting the most bands.
If you are in Singapore, you will need a phone that supports the bands 1800MHz or 2600MHz. In this case, all models listed in the chart below will work on the 4G LTE network on M1, Singtel and Starhub.