Pretty much all ASIC-regulated forex brokers offer currency trading (also known as forex trading) to some extent. However, the number of currency pairs that are available for trading may differ significantly from one forex broker to another. If you are mainly looking to trade currencies, it may be wise to look for a forex broker that offers a large number of currency pairs available.
An important thing to consider when trading currencies is to keep the spread between the buy and sell price of a currency pair at any given time as small as possible. In general, the most traded pairs such as EUR/USD, USD/JPY, and GBP/USD have the tightest spreads. You should therefore try to trade with these currency pairs unless you have specific reasons for choosing other and less traded pairs.