Animals have always been an important part of human life, and they have also become a source of inspiration for many idioms and sayings. Here are some common English animal idioms and their meanings:

1. 'A leopard can't change its spots.' - This means that people can't change their inherent nature or behavior, just like how a leopard can't change the spots on its fur.

2. 'Let sleeping dogs lie.' - This means that it's better to avoid stirring up trouble or causing problems, just like how it's better to let a sleeping dog rest.

3. 'When pigs fly.' - This means that something is impossible or unlikely to happen, just like how pigs can't actually fly.

4. 'A bird in the hand is worth two in the bush.' - This means that it's better to hold onto what you have, rather than risk losing it for something that might not even be attainable.

5. 'The early bird catches the worm.' - This means that people who act quickly and decisively are more likely to succeed than those who hesitate or wait too long.

6. 'Kill two birds with one stone.' - This means to accomplish two tasks at once or to solve two problems with a single action.

7. 'The lion's share.' - This means the biggest or largest portion of something, just like how the lion in a pride gets the largest share of food.

8. 'Horse around.' - This means to behave in a silly or playful manner, just like how horses play around in a field.

9. 'Fish out of water.' - This means to feel uncomfortable or out of place in a new or unfamiliar situation, just like how a fish would feel out of water.

10. 'Monkey see, monkey do.' - This means to imitate or copy someone else's behavior or actions, just like how monkeys often mimic each other.

Overall, these animal idioms add color and richness to the English language, and they serve as a reminder of the important role that animals play in our lives and cultures.