Against e4, well there are lines such as the sicilian hyperaccelerated dragon, the accelerated dragon, and the traditional dragon. There is also the modern 1...g6 which is usually okay, and also the pirc which is suboptimal. As for systems where the bishop retreats, you can commonly find that in the Breyer System (a line in the Ruy Lopez). In the breyer as well as other lines in the Ruy Lopez, Black plays Re8 followed by Bf8, g6, and Bg7.
If you want a solid defending position, then you should try the Breyer system. Look it up )). Just know that you may not reach it too often, but the way that Black plays into it is always 'good', if that makes sense. Otherwise try the pirc or the traditional dragon maybe, both are actually quite fun to defend. But objectively the Breyer is one of the best systems for black; it is extremely theoretically healthy.
Against d4, both the Grunfeld and King's Indian setups are good for what you're looking for. I play the Grunfeld by the way.
By the way, there is a line in the English (and also the larsens! 1. b3) where Black retreats the bishop to f8, but doesn't fianchetto via g6.
It goes 1. c4 e5 2. Nc3 Nf6 3. g3 d5 4. cxd5 Nxd5 5. Bg2 Nb6 6. Nf3 Nc6 7. 0-0 Be7 8. d3 0-0 9. a3 Re8! (preparing to guard e5) 10. b4 Bf8. I enjoy this position for Black too.