Surprisingly there isn't one question that groups these all together yet on Stack Overflow; there hasn't been an answer on SO for italics or underline, in fact, only this question for bold. I self-answered this quesiton below.
<Text style={styles.bold}>I'm bold!</Text>
<Text style={styles.italic}>I'm italic!</Text>
<Text style={styles.underline}>I'm underlined!</Text>
const styles = StyleSheet.create({
bold: {fontWeight: 'bold'},
italic: {fontStyle: 'italic'},
underline: {textDecorationLine: 'underline'}
})
Working demo on Snack: https://snack.expo.io/BJT2ss_y7