Now... I know this is nerdy... but...
Different alphabets, letters and sounds
Obviously we know about the Latin alphabet, because that's what we use in English.
This is one of my favorite alphabets:
It's the Russian Cyrillic alphabet
I think it's beautiful that there are so many different characters that can represent sounds and there are so many sounds that some languages have, but others don't have. My tattoo, is pronounced something like (sloo-gah). Not only are there different letters, but letters we know in English, have different pronunciation.
It's also crazy that even within languages, there is extreme diversity.
In Spanish, in Central and South America, whenever a "c" is before an "e" or an "i" it makes it an "s" sound. For example, cena (dinner) is pronounced "say-nah." In Spain, you would pronounce that "c" and also a "z" like a "th" sound. So in Spain, cena would be "thay-nah."
You can totally see the differences in English between: American, British, Canadian and many more. Each country's version of English can be broken up even more: Southern, Liverpool, Boston, Texan, London, etc...
Music in other cultures can be a very different experience too. I've grown to love many bands that play music only in Spanish. Even if you can't understand it, the different sounds are beautiful. If you can understand it, it can give you a view into the culture.
Let's be honest, how likely are we to listen to accordions in American music? You'll experience new things and love them.
(this is Portuguese and a little English)
Language doesn't help you enjoy food more, not literally anyway. However, good food is always surrounded by good company. To fully enjoy the eating experience in another culture, it really helps to be able to converse with someone.
Exciting new experiences throughout the world really are at your fingertips when you learn new languages. My world has really gotten so much bigger because of what I've learned so far. I've experienced a lot of different people, ideas, food, situations, music and really just grew to love and appreciate diversity so much more because of all of that.
The world truly is a beautiful place. I honestly believe if you were to expand your lingual palate, you'll be able to enjoy it more fully.