我喜欢吃蛋糕用英语是：I like to eat cake.
我喜欢吃蛋糕还可以说：I like eating cake.
关于喜欢的单词：
1、like 喜欢；爱好。
to like or enjoy sth very much 喜欢；喜爱。
[动词 + 名词短语]
I really love summer evenings.
我非常喜欢夏天的夜晚。
I just love it when you bring me presents!
我就喜欢你送我礼物！
2、romantic浪漫，喜欢。
[不可数名词]
a strong feeling of affection for sb that you are sexually attracted to 爱情；恋爱。
They fell in love with each other.
他们彼此相爱了。
It was love at first sight.
那是一见钟情。
3、enjoyment 乐趣，喜欢。
[不可数名词, 单数]
the strong feeling of enjoyment that sth gives you 喜好；喜爱。
a love of learning
对知识的爱好
He's in love with his work.
他热爱自己的工作。
4、sb/sth you like 所爱的人 / 物。
[可数名词]
a person, a thing or an activity that you like very much 心爱的人；钟爱之物；爱好
Take care, my love.
保重，我的爱人。
I like most sports, but tennis is my first love.
大多数运动我都喜欢，而网球是我的第一爱好。
5、affection 喜爱。
[不可数名词]
a strong feeling of deep affection for sb/sth, especially a member of your family or a friend 爱；热爱；慈爱。
a mother's love for her children.
母亲对孩子的爱。
love of your country.
对祖国的热爱。
涉及到的语法：
1、like to do sth. to 后面跟动词原形。
2、like doing sth. like 后直接跟动词ing形式。