A few of the things we use daily or at least weekly here on the homestead:
Zip ties~I find myself using these almost daily, but definitely weekly. In the past 5 yrs I'm guestimating I've been through literally thousands of zip ties. They've become an essential tool here on the homestead. Who knew those things would become such a fixture in my life?
Cattle panels~multiple uses, invaluable to have on hand for constructing quick shelters(green houses, coops, wood sheds, carports) or even more long lasting ones, fencing, trellising, gates, cold frames, etc.
Utility carts~hand carts and one that hooks to the lawn mower. Used daily for various jobs around the place, we couldn't function without them at all. They last for many a long year, while taking a huge beating and bearing incredible loads...there are few things more essential to homesteading than utility carts and wheelbarrows.
Hardware~various and sundry types of hardware...one can never have enough, nor enough variety of, hardware. Save it up, scavenge for it, keep it handy. Any given time you will need screws, nails, hinges, hooks, staples, handles, etc. as you rig up or construct various and sundry solutions for living on the land.
Buckets~used daily here for various reasons, one can never really and truly have too many buckets. Oh, I think I do and every once in awhile I'll corral them and try to store them neatly, but very soon I'll find them sitting everywhere once again. One of the most versatile tools for a homestead is the lowly bucket, particularly a 5 gal. one with a lid. So many uses and tough enough to last decades.
Cordless hand drill with quick change gadget~I use this daily or at least weekly and am VERY protective of my drill, and especially the quick change fitting. It allows me to drill a starter hole, then flip the bit to a screw head in half a second's time...this is invaluable to me. I use my drill constantly and keep the batteries charged at all times. That is the power tool I use the most and I find the most valuable to me here.
Sawsall~another nifty tool that comes in handy for so many, many things. Tough, can saw through most anything, great for breaking down pallets, construction, cutting cattle panels, etc. I find myself using this over other saws simply because it's the most versatile.
Tarps~one can never have too many or too many sizes of tarps. We couldn't function here without them. Tarps are the unsung hero of homesteads all over the world and there's few things so valuable as a tough, heavy mil tarp when it comes to survival in many situations~they protect, separate, hold together, collect, transport, shade, sun, and hide. They are essential to living here on Earth.
Bungee cords~all sizes and kinds. The lowly bungee is as much an unsung hero as zip ties and tarps. We all use them but never give a second's thought as to what life would be like without them. I can tell you..horrible. I use bungees daily here and they are integral to a life lived on the homestead.
Bailing twine~another unsung hero of any farm or homestead. One can never have too many little rolls of bailing twine tucked here or there around the place. When I can't find one, I start to feel a little desperate. One can get by with pieces of 550 cord and it will last longer but there's just something about bailing twine that I love...always have.
Various hand tools~hammers, screwdrivers, staple guns, utility knives, shovels, pitchforks, rakes, etc. Can't do any of this without those. Used daily for some purpose or other, one can never have too many of each kind and I'll tell you why....they grow legs and walk off, sometimes playing hide and seek until they put you into a full blown temper tantrum at not being able to find a single one when you have a thousand of them and you
"JUST saw them a few days ago but SOMEONE must have taken them and didn't put them BACK !!!!" 
Whew! Well, anyhoo, you get the drift. Hand tools are just that important. 
Canners and canning implements~essential to preserving foods, used frequently, last a long, long, long time, jars come in handy for more than just preserving foods.
Wood burning stove and tools for getting fuel for it~pretty essential for those of us in the backwoods. You can stay warm and cook on it, two of the essentials for survival. The chainsaw is another integral tool for the homestead, particularly if we want to reach civilization...if a tree falls across the road, we can't go anywhere from here. Fuel and ways to keep it sharp are a given.
Milk jug/water jug~we use them daily and constantly throughout the year for water storage, for keeping cold water in the fridge, etc. Can't really have enough sturdy jugs for holding and transporting water. Another essential to living, though we often take it for granted. We have gallons, 2 gallons and 5 gal. water jugs and all are currently in use.
Good knives~those that hold an edge and last forever, serving various purposes, but mostly related to food prep and butchering. A good set of knives of various sizes is one of the most valuable tools on the homestead. I use RADA knives exclusively, though the boys have their own favorite deer gutting/skinning knives.
Used daily, they must be the utensil or kitchen tool we take most for granted and the one I'm astounded that is such a second thought in most households...when I go to a home that has dull knives and the people don't seem to care, I know I'm in a home where the woman doesn't do much real food preparation,no matter what she may say. One cannot just haggle their way through life with dull, crappy knives...it's nigh impossible to use such a thing daily and not want to throw it against the wall. Then, when you find she doesn't even OWN a knife sharpener, you know the jig is up...she doesn't do any food prep in her house. At all. No way.
Tape~of all kinds and types, pretty essential for getting by each day in this world, but especially so on a homestead. Few things as versatile as a good tape store, with the star player being duct, then electrical, and finally, masking, but many bit parts played by strapping and marking. Can't ever really have enough good tape.
Ratchet straps~essential if you transport anything, want something to stay put tightly, etc. One can have WAY too many of these things but you really only need a few really good ones to realize that they are pretty much essential to a working, homesteading kind of life.
I'm sure there are more, but I'm just sitting here looking through the window and naming all those that come to mind when I look out there where we use them most.
The Apple chips I made will not last long.
