I grow ginger. In the spring, I dig up part of the root, wash and scrape it clean, then chop into smaller pieces. I dry it in the dehydrator and when dry, run it through the food processor until small crumble-sized pieces. I like ginger tea, but usually mix it with other things like black tea or mint, or a combo. Ginger is also good for a variety of things, including nausea.
Mint is one of my favorites, either by itself or mixed with other things. I have a variety of mints, but my favorite is really just the plain old peppermint type. The "fancier" ones like chocolate mint, orange mint, pineapple mint, etc., all smell good, but didn't do much for me flavor-wise.
Catmint is another good leaf for tea. It has beneficial properties, such as calming, help with sleep, etc. It doesn't taste as flavorful as mint, but it can be mixed with things. I liked the dewberry and blackberry leaves, and I'm guessing your raspberry leaves will be similar.
Do you have citrus? The flowers and leaves are edible and are useful in teas. They can be used interchangeably...lemon, orange, satsuma, etc.
Mayhaw leaves, berries and flowers. Good for heart health.
Goldenrod leaves and flowers have medicinal purposes. I didn't find the taste that appealing, but could also be mixed with other things.
I haven't tried some of my other herbs in tea blends yet, although I read about them being used. I use oregano, sage, rosemary, etc. in cooking, but they don't sound good for tea. I might use them for medicinal purposes, but for just tea drinking, they don't appeal to my brain.
Those are just a few off the top of my head that are abundant in my yard.