Eukaryotic cells are larger and more complex than prokaryotic cells, containing membrane-bound organelles and a nucleus. Key structures include a cell membrane and cytoplasm, as well as organelles like the endoplasmic reticulum, mitochondria, plastids, flagella, and cilia. Eukaryotic cells reproduce through both asexual and sexual means, with sexual reproduction involving meiosis to produce daughter cells with half the number of chromosomes.