Offerings to Heru-sa-Aset: (Greek: Harsiese; Horus son of Isis)-
Some of these are attested in ancient sources while others come from my own (or other people’s) personal experience giving offerings to the God.
Liquid Offerings
Water
Milk
Beer
Pomegranate-Wine
Wine
Coffee
Tea
Food Offerings
Bread and Barley
Fruits and Vegetables
Figs
Dates
Fig Newtons
Pastries; cookies and cakes
chocolate; chocolate with nuts
Meat Offerings
chicken or duck
beef
Non-Food Offerings
Scents: myrrh, frankincense, Kapet (Kyphi)
Flowers: Roses, blue flowers
Light: Blue candles; beeswax candles; lanterns
Colors: Blue,
Jewelry: Gold, solar colors; silver, bronze
Taboos
pork
fish; any seafood
Disposal of Offerings
1) Eat them
2) With wine or water, you can leave it to evaporate on the Shrine or pour it out as a libation when done.
Sacred Animals
Falcon
Hawk
Bull
Lion
Sacred Symbols
Udjat Eye
Moon
Sun
Aspects
Heru pa Khered: (Greek: Harpocrates; Horus the Child)
Heru nedj itef: (Greek: Harendotes; Horus, Savior of His Father)
Syncretisms
Min-Heru
Sobek-Heru
Fiercely Bright One 
I love these lists, though I wish you had delineated between which were from ancient sources, and which were from modern experiences.