unless you mean flowers and chocolate each pet has their own quest that gives them a set amount of amity as for the ones that five flowers and chocolate these are the ones that i remember
i'm sure there is more but as i said its what i recall, i've done none of the new quests so i'm sure others will list more.

INSTANCES, EVENTS & EGGS
- you can get from instances and eggs like eight warriors.
- jurrasic pasture as far as i know is all pet related items only.
- doing 15round and all other egg related event may give chnage of amity stuff
- gifts for lvling will give you amity stuff each pack you can also recollect the last pack yearly or every version as well as when a new pack update is created. you can get a picnic basket for the last pack. thats +8

HANGING GARDENS
- 2 quests in hanging gardens the love letter and the lost ring that gives you 1 chocolate each
the ant queen quest in the back cave next to the pet rb cave (up the cliff) gives you a giant egg and a +10 pet jelly

REVIVAL
the key quest in relic gives you a chance to get 10+ amity, vip card or sand glass for manufactureing

JAPAN
momotaro gives you liek a +5 or 10 riceball (not sure)

WELLING
-there is yuna in welling which gives you +2 bouquet but comes with the cost of a star each.

HOLY VILLAGE
-quest in holy with the mushroom soup gives you random amity but undure if it lvl dependant. (when ever i;m under lvl 10 i seem to get 3 or more but higher than lvl 10 i get 1 or 2 chocolate.
- yuna in holy collect flower for her (i can't recall if she gives you a +6 bouquet been a while since i did that quest) need to complete her prequest in welling fisrt.

CARNIE
- carnie you can get 2 bouquets which comes with the cost of 20 tickets and 1 chocolate with the cost of 6 tickets (not really worth it)

UNICORN/ORC ISLAND
unicorn island. save the majin boos from the pirates get a +2 or a +6 bouquet some people have gotten stars from it so dunno if this is also an other random reward quest. but still worth checking out.

there are lost more but my mind is kindda all over the place right now when i remember more i'll add.