The larger one looks like Mammillaria spinosissima Un Pico. No, its not blooming but is much much happier in your care. I can tell that because the new growth on top is bigger than the old growth. It blooms red in a ring around the top. The one in the same pot maybe Haworthia.
The other one is a Sempervivum. It is growing offsets. Usually, the offsets would root into soil and form a 'skirt' arount the larger plant. The main plant will bloom and then die, leaving the offsets to take its place. It looks like the main plant is already dying so, unless you can root the offsets, you will lose that one. Its a tough plant to grow in a pot and in warm climates.