A User Equipment (UE) including a wireless transceiver and a controller is provided. The wireless transceiver performs wireless transmission and reception to and from a service network. The controller initiates a random access procedure with the service network by controlling the wireless transceiver to perform wireless transmission using at least one of: a random access preamble configured for System Information (SI) request, and a corresponding Physical Random Access Channel (PRACH) time-frequency resource allocated for the random access preamble. Also, the controller receives a random access response, which includes a Random Access Preamble Identifier (RAPID) only and does not include a Timing Advance (TA) command, an uplink grant, and a temporary Cell Radio Network Temporary Identifier (C-RNTI), from the service network via the wireless transceiver.