As well as that

【注释】除此以外

【例句】People have realized the threats that pollutions bringing to us as well as the urgency of protecting the environment.

Not only that

【注释】不仅如此

【例句】That lecturer taught us many key points in learning English. Not only that, he also shared with us many useful skills about English study.

On top of that

【注释】除那以外、其次更重要的是.

【例句】He lost his job. On top of that, his wife left him.

Another thing is

【注释】另外；除此以外

【例句】I got really good marks on my subjects. Another thing is that I made a lot of good friends with my classmates.

Besides

【注释】此外；出此以外

【例句】An apartment is more affordable to me than a house. Besides, it takes less time to clean up an apartment.

What’s more

【注释】另外；更重要的是

【例句】I don’t like pubs. They’re noisy, smelly, and what’s more, expensive.

More than that

【注释】除此以外；另外

【例句】Swimming is a good way of exercising the body. More than that, it is also a great stress-reliever.

Furthermore

【注释】而且；与此同时

【例句】Watching English-language films is a good way to improve the English speaking and listening. Furthermore, it’s a direct way to learn about the authentic western culture.

In addition  

【注释】另外；除此以外（还有）

【例句】Travel can enrich our life experience. In addition, it can also enlarge our scope of knowledge.