Equivalent in terms of annual fee? No. But there are other cards which provide unlimited lounge access, some of which may be beneficial depending on how often you or your family frequents lounges. One particular one that comes to mind is the AmEx Platinum card. Now certainly $1450/year annual fee is not for most people simply getting a card for lounge access for themselves, but there are some perks that offset the costs, namely a $400 dining credit, an annual Amazon prime credit, $450 travel credit, Accor+ membership (valued at $400 AUD). If you are the type that travels frequently it would be easy to break even on the costs right there. Lounge access with AmEx is also amongst the best of the credit cards. Not only do you get Priority Pass membership to all lounges for yourself and a guest, you have access to Centurion lounges, Virgin Australia lounges, Lufthansa lounges and Delta lounge (those three being if you happen to travel with them), Plaza Premium lounge access (some will point out that Priority Pass gets you that but the AmEx Platinum version gets you even more such as a shower at the SYD international arrivals lounge). And the best part? You can add up to 4 additional card holders to your account for free and they get the same lounge perks for themselves. In other words $1,450 gets you arguably some of the best lounge access available for yourself, your partner and relatives.
I am unaware of other credit cards in the Australian market that offer unlimited lounge access. Most of the cards that do offer lounge access that I've seen offer maybe 1 or 2 passes a year. Fine if you travel very rarely but not enough for the frequent traveller. And I should point out, I hold the Canadian Platinum card from AmEx and have QFF Platinum status now. Yes, I do use QF and OW lounges provided with my QF status but sometimes that's not always available.For instance, flying out of MSP last month on AA there were no OneWorld lounges I could access. In PIT there was an Admirals lounge but I couldn't access it as my employer's travel policy required booking non-stop flights when possible and the only carrier offering non-stop service to MSP was DL. Fortunately I could access the Club lounge at PIT (Priority Pass) and guess what? When I landed in MSP I accessed the DL SkyClub on arrival using the Platinum card. Even flying back to SYD at the end of my overseas adventure, there aren't any OneWorld arrivals lounges at T1 and I sure as heck wasn't going to waste time taking the T Bus to T3, clear security with my luggage and all that just to access the QF lounge. Instead, I was able to access the Plaza Premium arrivals lounge at T1, grab a shower and a bite to eat.
-RooFlyer88