What are the real symptoms of basal cell carcinoma?

Mostly none. Sometimes they show up as spots that don't heal, but the vast majority of basal cell cancers are asymptomatic bumps that enlarge slowly over time.
Non healing ulcer. It may present as a nodule, or ulcer that does not heal and spreads locally destroying tissues.
Nonhealing lesion. The symptoms can be very subtle--may present initially as a small flesh-colored or pink or white bump often confused for a pimple or insect bite. But pimples and insect bites go away, skin cancers do not. A basal cell will usually persist and start growing larger, develop blood vessels, sometimes form a central ulcer or crust. Sometimes appear flat red and scaly. Can even be brown color.
Slowly enlarging. Basal cell carcinoma is the most common skin cancer and is caused by sun exposure. It is usually a slowly enlarging lump that may be a bit raised and pearly in appearance. It usually is not painful and usually doesn't bleed until it gets rather large. There are types of basal cell that only look like a pale patch of skin. You should have any suspicious spot checked and perhaps biopsied.
Non-healing spot. This most common kind of skin cancer usually appears as a pink raised bump which looks like a drop of wax on the skin. Often you can see tiny red blood vessels in the tissue. They frequently bleed and may itch or tingle. They may evidence no symptoms whatever other than the fact that they are there and weren't before. They should be removed before they get larger and deeper.
Tumor. The earliest name for a bcc was a rodent ulcer because it looked as if you jad a flesh wound caused by the nibbling of a rodent. There are 5 different types of bcc. These somewhat describe their appearance. They can look like a pimple, whitehead, ulcer, burn, scab, pigmented mole or lesion just to name a few.
There may be none. Basal cell cancer starts out as a small red, pink, or occasionaly brown bump. It may look like a pimple that doesn't seem to go away. It will gradually get bigger and may develope a scab or sore in the center that never seems to heal. These are usually painless.