We are not interested in listening to stories, but now we'd be interested to hear your story.
我们对听故事不感兴趣，但现在我们很有想听听你的故事。
解析
be interested in （doing）sth = 对做某事感兴趣(指一般性的动作)
be interested to do sth = 很有兴趣、很乐意、很想、有意做某事(指尚未发生的动作)
如：He is interested in listening to stories.
他对听故事很感兴趣。
I think the young man is getting interested in gardening.
我认为这个年轻人开始对园艺产生兴趣了。
I'm not interested in a romantic relationship.
我对谈情说爱不感兴趣。
Alex is not interested in girls yet.
亚历克斯对女孩子还不感兴趣。
We have been approached by a number of companies that are interested in our product.
一些对我们的产品感兴趣的公司已和我们接洽。
We'd be interested to hear your story.
我们很想听听你的故事。
I'd be interested to meet her.
我有意见见她。
We would be interested to hear your views on this subject.
我们很想听听你对这个话题的看法。
请看一个类似的例子：
be keen on doing sth = 热衷于做某事(指一般性的动作)
be keen to do sth = 渴望做某事(指尚未发生的动作)
I wasn't too keen on going to the party.
我不太想去参加这次聚会。
I'm keen on providing signers for deaf people and readers for the blind.
我热心于为聋哑人提供手语员，为盲人提供朗读员。
She is also keen on the ballet.
她也热衷于芭蕾舞。
This is why Sir Colin Marshall, British Airways' chairman, has been so keen to buy shares in US-AIR
这就是为什么英国航空公司主席科林·马歇尔爵士一直如此热衷于购买美国航空公司的股票。
John was very keen to help.
约翰很热心，愿意帮忙。
McCartney was also keen to write in aical idiom, rather than a pop one
麦卡特尼也热衷于古典风格而不是通俗风格的创作。
The government is keen to put some distance between itself and these events.
政府急于想表示自己与这些事件无关。
但是，以上用法并不适合所有形容词的结构“be + 形容词”都可同时接不定式或“介词 + 动名词”的。如：
(1)要表示“喜欢做某事”，英语可用be fond of doing sth，但不用be fond to do sth.
(2)要表示“忙于做某事”，英语可用be busy in doing sth，但不用be busy to do sth.
(3)要表示“厌烦做某事”，英语可用be tired of doing sth，但不用be tired to do sth.
(4)要表示“做某事做迟了”，英语可用be late in doing sth，但不用be late to do sth.
(5)要表示“做某事有经验”，英语可用be experienced at / in doing sth，但不用be experienced to do sth.
另外，有的形容词可用于两个结构，含义基本相同。如：
be fortunate in doing sth与be fortunate to do sth大致同义
Central London is fortunate in having so many large parks and open spaces
伦敦市中心有幸拥有许多大型公园和大片空地。
I was fortunate in having a good teacher.
我很幸运，有位好老师。
We are fortunate in living in such a big city.
我们住在这么大的城市里真幸运。
I have been fortunate enough to visit many parts of the world as a lecturer.
我很有福气，去过世界许多地方作演讲。
He was extremely fortunate to survive...
他能活下来真是万幸。
You are all fortunate to be growing up in a time of peace and plenty.
你们都很幸运，成长在和平富足的时代。
Anna approached several builders and was fortunate to come across Eddie.
安娜与几个建筑商有过接洽，并且很幸运地碰到了埃迪。
If your timing is right, you may be fortunate enough to stumble across a village fiesta.
如果你时机把握得好，你会幸运地撞上某个乡村节日。
She is fortunate to have such a kind husband.
她真幸运，有这么体贴的丈夫。
