TL;DR

• Green: Gyokuro
• Black: Darjeeling
• White: Pai Mu Tan (Bai Mu Dan)
• Yellow: Yinzhen
• Pu-Erh: Sheng over Shu
• Misc: Yerba Mate (Instead of Coffee)

I'll just boldly split that answer into some categories :D

Black teas: As my personal favorite I prefer Darjeeling teas, because of their flowery and mild taste.

As for my daily driver I mostly find myself drinking stronger black teas, like english breakfast or ceylon teas.

Green teas: My personal favorite for green tea is the Japanese Gyokuro, because of its strongly present umami flavour and general taste. This green tea gets its flavour from being hidden from the sun by huge black tarps some months prior to harvest. This procedure stops bitter substances from forming within the flower.

But because Gyokuro is a very pricey tea I find myself buying a Chinese green tea called Pi Lo Chun. It's nothing like the Gyokuro that I love, but it has a flowery flavour to it.

I also love drinking and preparing Matcha. You shouldn't waste money on cheap Matcha, only if you like to drink Matcha Latte.

Whites: For white teas I love to drink a tea called Pai Mu Tan (sometimes called Bai Mu Dan). It tastes somewhat fruity sometimes.

I've also tried a more expensive white tea called Silver Needles but I couldn't really make out a difference to other white teas I've tasted. But that might also just be an error of mine.

Oolong: I really like Da Hong Pao. I haven't tasted many other oolongs.

Yellow teas: It's been a while since I've had my last yellow tea, but I remember buying a Yinzhen. It had a malty taste, that I really enjoyed.

Pu-Erh: I like the earthy taste of a good Shu Pu-Erh. Riper Shu Pu-Erh might even taste like chocolate. But when first drinking a Shu you might connect the taste and the smell to fish or algae.

Sheng Pu-Erh is more like a conventional green tea. With time passing, this tea will ripen and unlock new flavours.

I prefer Shengs over Shus.

Misc.: When talking about other kinds of tea I like substituting coffee with yerba mate. It keeps you energized longer and when drinking it correctly you can also drink it for quite a long time. My longest session was about 4 hours long before the taste vanished.

I'm no huge herbal tea guy, but I do like my camomile tea in the evening to calm myself.