Thanks for the tip, at first glance the TPS61098X chips look really nice. But after reading the datasheet I realized that the LDO output is only supposed to be used for low-power sensors and can only supply <200mA and not the full 500mA of the boost circuit. There is also a significant voltage drop/difference. E.g. the TPS610981DSE supplies 3.3V on the main output (passtrough when V_in>V_out) but only 3.0V on the LDO output (p. 7).
But if you know of any similar devices with higher output currents I'd be stoked.
edit: I found the TPS61025 from a very similar series which seems really nice. I has only one output and can apparently also linearly regulate the full 1A it can step-up.
I've also thought about highly integrated solutions of battery charger + boost converter. I've found plenty with a fixed boost voltage of 5V@500mA for USB-OTG, the cheapest (~0,7€) ones beeing the FAN54015 and FAN54005. 500mA are great, but I'd need another buck or LDO to get my 3.3V from the 5V supply. This again leads to increased size and BOM cost while not beeing ideal efficiency wise.
Then there are some with an additional 1.8V output, but I've only come across one (well two extremely similar ones) with 3.3V output (with an internal buck converter + LDO). That would be the TI BQ25120A BQ25122, but they can only supply 300mA via the buck converter. In theory they can spit out another 100mA via the LDO, but until someone corrects me I'd be pessimistic about simply connecting the outputs of both to get up to 400mA.
Anyway, the BGA packages of all mentioned chips are a real "treat" to solder manually.
So my next idea was maybe a SEPIC design behind the charger with something like the TPS61170 (DFN), the LM3481 (more power, sweet VSSOP package) ot the LM2735 in an awesome SOT23 variant. They are a bit more expensive tough. They also need at least 3V, which is fine for my application but would make them unusable to use with NiMH and other chemistries.
If someone knows of the proverbial jack of all trades device or other nifty solutions, let me know!