Last Oct. I got a Takagi LPG, the more advanced model for about $1100. It has 4 separate burners and each is variable. Hot H2O never runs out. We got the remote control thermostat (it mounts on the wall and is connected by hard wiring, therefore you can't carry it around like the TV remote) for about an extra $100 and it's been worth it. We placed the thermostat inside by the master bathtub. It ranges from 99 to 167 degrees. I set it at 99 when I shower and can still turn the faucet past the center to the cold side to get very lukewarm water. When we want to wash towels in hot H2O, it's very easy to kick the temp. up to 167. Also, if the water in the tub gets cold and you want a small amount of super hot water to bring the temp. back up, we can just reach over and adjust the thermostat. We normally put it at 115.
The only downside is that it won't kick on if you want a mear drizzle of hot H2O. If I'm rinsing dishes in the kitchen sink, I have to have the flow at substantially higher than a drizzle for the burners to come on, but I can still run it at well below full blast.
The up sides are endless hot water, easy temp. control, potential for high volume flow, all with substantial heat (this model will supply up to 4 showers simultaneously), and energy isn't wasted keeping water hot and on standby for 99% of the day. Also, though the price of the unit is higher than a tank, the life expectancy is far longer so that the pro rated cost is reasonable.
Previously we had a gigantic heat pump with thermal reservoir for Heat, hot water, and AC. When the unit (outside) went, kaput, I didn't want to replumb to put this unit inside. With the old unit gone, there was already a 3.5' x 8' concrete slab and all plumbing in place. I bought some flat and angled aluminum, stainless steel nuts, bolts, and expansion anchors, and built my own frame to mount this thing alongside the new regular sized heat pump/ac on the old concrete pad. The contractor had an exterior cap he put on top where the exhaust normally enters a vent pipe. It has worked just fine, even in driving rainstorms.
I wasn't familiar with the Takagi brand, but it's stats are better than the more well known names, and we haven't had a single problem of any kind. If I build another house, I'll definitely install this.