I would check the sticky threads at the top of GI here, I know that some great discussions about ear training have taken place in past years, and I'm not able to reproduce those thoughts at length right now, so simply to add to the current great advice, I would say:
It doesn't hurt to stretch out of your musical comfort zone in some instances. I'm thinking of this example where some of the songs sound like the bass is less prominent in the music and there is a lot of distortion. Regardless of the situation, I generally advise to start with something like Blues. I really believe that the Blues are a wonderful way to start ear training. There are a couple of reasons: 1) it has a fairly standard harmonic structure. The songs are generally I-IV-V. It helps to know the harmonic structure a lot of the time. Hey, you might think that the best "ear players" out there just can grab a note out of thin air, but it's more complicated than that generally. Often, a subtle dialectic is occuring between their trained ear and their internalized knowledge of harmonic structure, chord changes, resolution, etc. 2) the bass is prominent in Blues. 3) Often you get ostinato figures. If you miss the bus the first time around, it always comes back.
Now I'll contradict myself a little bit. Because of the bit before about ear playing as being partially about musical knowledge as well, you certainly do want to spend time in your genre of choice, as you need to learn about what typical harmonic choices are made. So, start with blues, play some blues, and learn the blues well. (So much music is based on these chord sequences anyway). But don't neglect the music you love. Just recognize that you may have a wider harmonic pallette, (although not always, or even most of the time), and that the timbre of all instruments and the mix will be very different.
I've been a jazz, R&B, and Latin guy my entire life. I simply haven't listened to a lot of rock music. Not kidding, I could probably name 10 Beatles songs, 2 Zeppelin tunes, and I can't name a single tune by the Who, etc. So, when I was asked to sub for a friend several years back and the playlist was mostly Hendrix, I was really surprised and how much of a challenge it was to get through Hendrix's distortion and screaching. It was far more challenging. But then, I also learned that often the bass is just copying the guitar line, and that was a trick I could use to facilitate learning. Although Hendrix is simply not my type of music and I don't listen to him casually, ever, I developed an appreciate for his style and I stretched my ear.
Also, props for even asking this question at this point in your playing life. Tabs, (and I know that may disagree with this), hamper ear training. The more you can move away from those, (and sometimes absolutely forcing yourself to is necessary), the better. I am a standing member of Club Tabevil.