Convenient timing, my wife and I just got back from a Brazil trip that included a food tour in Rio. Here are few suggestions I would give from our time there (both from the tour and otherwise) - a few could be a long walk from Leme, but many would be better either biking or getting an Uber:

• Pavão Azul Bar (and their neighboring Pavão Azul 2 or Pavão Black) are affordable bar/pub atmosphere joints with really good food. https://maps.app.goo.gl/j1C153hwWkCG3sh16
  • We also went to Landuco a couple doors down and liked it a lot.
• Pão Linguiça is a tasty (and very successful) street food cart making sausage sandwiches - it's only open until 2:00 PM. It's not listed on Google, but here's the location. https://maps.app.goo.gl/EQFssLaSXqeh4mE89
• Restaurante Degrau (which also has a less formal neighboring property) is also good Brazilian food. https://maps.app.goo.gl/NW6EqJ2ZJ6sVFqhN8
• Tacacá do Norte is pretty good if you're interested in trying Amazonian cuisine. https://maps.app.goo.gl/yVtWzmdT9Wp4Kshm9
• Opus is another simple place that makes really fantastic pork in the central district. https://maps.app.goo.gl/1LgBpayVZtBvpRo67
• Tourão over in Barra di Tijuca was a great churrascaria - there are plenty, but we liked this one the most from our time in Brazil and it was pretty reasonably priced for being a little more upmarket. https://maps.app.goo.gl/tyGidfCeSHoT2DU26
  • If you're a wine drinker, we had a Brazilian cab here that was fantastic and went really well with the grilled meats.
• Restaurante Shirley mentioned above was also recommended to us, but we didn't have time to make it there.