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None of my Chase cards were instant approval. They always went to verification.
Many of my Sync cards have been instant but stuff like Sams Club MC and Walmart I've had to go through verification for.
Citi cards have always gone into verification too.
Amex was always instant approval.
Barclays was instantly approved
Discover was an instant approval.
US Bank was 7-10 message.
CapOne was not instant
All of mine except the Sapphire were instant. Had to do ID verification for the CSP which took about a week to complete.
Every card in my signature was an instant approval except: AmEx Platinum, SPG, Chase Freedom, and Diner's Club (not pictured). Zync, Forward, BCE (not pictured), Walmart Discover/MasterCard were all verification. Citi AA would've been instant, but I was prompted to keep the CL or to move some from another card to make it even higher.
Other instant approvals that I don't have in my signature are: Chase Amazon, Macy's AmEx, Sam's Club MasterCard, Citi DoubleCash.
Both of my Amex cards (one charge one revolver were instant)
Both my BoA cards were instant.
Citi - instant
Barclay's - instant
US Bank (in branch application) - instant, but they downsold me. So I guess it was really a half denial.
The only cards that were not instant approvals were my two Chase cards. Both were approved after simple manual review (just called, they verified my identity and such, and approved me).
I think the larger point here is there aren't cards that are always instant approvals. It all seems to depend on the individual