Yeah Mouser has been go to. Anything in particular that I might have kicking around?
The low-profile caps I have are just under 6mm (can't make out the brand mark), but these Panasonic's are listed as 5mm length. Length is what you want to search, and it seems that around 5mm height is what you need to be "low profile" https://www.mouser.com/ProductDetail/Panasonic/ECE-A1CKS220B?qs=rMMd5vBiahpb8aNMFglKXw%3D%3DIDK if this link will work, but here's the search I did:https://www.mouser.com/c/passive-components/capacitors/aluminum-electrolytic-capacitors/aluminum-electrolytic-capacitors-radial-leaded/?diameter=4%20mm~~6.3%20mm&length=5%20mm&voltage%20rating%20dc=16%20VDC~~450%20VDC&instock=y&rp=passive-components%2Fcapacitors%2Faluminum-electrolytic-capacitors%2Faluminum-electrolytic-capacitors-radial-leaded%7C~Voltage%20Rating%20DC%7C~Diameter
Another crazy long link. Anything between 5 and 7mm length is what you want. But, also be careful of the larger values. 100uF low profile gets pretty chunky.https://www.mouser.com/c/passive-components/capacitors/aluminum-electrolytic-capacitors/aluminum-electrolytic-capacitors-radial-leaded/?diameter=4%20mm~~6.3%20mm&lead%20spacing=1.5%20mm~~2.5%20mm&length=5%20mm~~7%20mm&product=General%20Purpose%20Electrolytic%20Capacitors&termination%20style=Radial&voltage%20rating%20dc=16%20VDC~~50%20VDC&instock=y&rp=passive-components%2Fcapacitors%2Faluminum-electrolytic-capacitors%2Faluminum-electrolytic-capacitors-radial-leaded%7C~Length%7C~Voltage%20Rating%20DC%7C~Lead%20Spacing%7C~DiameterLow ESR is a different matter. However, I do have a link for a low profile low ESR cap I've used often!!https://www.mouser.com/ProductDetail/80-ESY276M025AC2AA