It's been quite a while since the most recent decent deals from AMEX. At time of posting, Amex Connect did not release the manual link. Also, credits to forumninja for posting the manual links in the comments.
Qantas: Spend $300 or more, get $40 back
EXPIRES: 28/04/19
DETAILS: Save the offer to your eligible Card and spend $300 or more at qantas.com on flights within or departing Australia, in one or more transactions, by 28/04/2019 to receive one $40 credit. Limited to first 40,000 Cards to save the offer. Exclusions apply.
Manual Link: https://www.americanexpress.com/au/network/shopping/doe-offe…
Hilton: Spend $400 or more, get $80 back
EXPIRES: 31/07/19
DETAILS: Save offer to eligible Card and spend AU$400 or more, in one or more transactions, online or in-person at participating Hilton portfolio of properties by 31/07/2019 to receive a AU$80 credit, up to 3 times. Limited to 30,000 Cards. Exclusions apply
Manual Link: https://www.americanexpress.com/au/network/shopping/doe-offe…
Marriott: Spend $400 or more, get $100 back
EXPIRES: 30/06/19
DETAILS: Save offer to eligible Card and spend $400 or more, in one or more transactions, online, via phone, or in-person at participating Marriott properties in Australia by 30/06/2019 to receive one $100 credit. Limited to first 20,000 Cards. Exclusions apply.
Manual Link: https://www.americanexpress.com/au/network/shopping/doe-offe…
Captain Cook Cruises/Sealink: Spend $300 or more, get $60 back
EXPIRES: 15/04/19
DETAILS: Save offer to your Card and spend $300 or more, in one or more transactions, online or in-person at participating Captain Cook Cruises & SeaLink Group locations & websites by 30/06/2019 to receive one $60 credit. Limited to 7,500 Cards. Exclusions apply.
Manual Link: https://www.americanexpress.com/au/network/shopping/doe-offe…
Adidas: Spend $140 or more, get $25 back [limit reached]
EXPIRES: 23/04/19
DETAILS: Save the offer to your eligible Card and spend $140 or more, in one or more transactions, online or in-store at Adidas by 23/04/2019 to receive one $25 credit. Limited to the first 10,000 Cards to save the offer. Exclusions apply.
Manual Link: https://www.americanexpress.com/au/network/shopping/doe-offer-detail.html?offer=90059
Just Wines: Spend $80 or more, get $20 back
EXPIRES: 16/04/19
DETAILS: Save the offer to your eligible Card and spend $80 or more, in one or more transactions, online only at www.justwines.com.au/ by 16/04/2019 to receive one $20 credit. Limited to the first 10,000 Cards to save the offer. Exclusions apply.
Manual Link: https://www.americanexpress.com/au/network/shopping/doe-offe…
Enjoy!
Qantas seems to require a Qantas AMEX card.
Was available on my Qantas one but not essential card.