New R Logo with Tikz

The best thing is to export everything from Inkscape but here I've just exported the R letter and placed it over the ellipses via the old logo colors. You might need to adjust it properly I'm just approximating here.

\documentclass[tikz]{standalone}
\definecolor{rlogo}{RGB}{126,142,176}    
\begin{document}
\begin{tikzpicture}
\shade[even odd rule,shading angle=-110] (0,0) ellipse [x radius=3,y radius=2] (0.4,-0.1) ellipse [x radius=2.4,y radius=1.5];
\begin{scope}[shift={(-1.6cm,1.8cm)},x=1pt,y=-1pt,scale=0.2]
\path[fill=rlogo,nonzero rule] (210.3155,173.1696) -- (210.3155,582.9834) --
  (331.7405,582.9834) -- (331.7405,423.6084) .. controls (362.0967,423.6084) and
  (377.2780,416.0209) .. (400.0467,453.9646) .. controls (430.4029,507.0896) and
  (468.3467,582.9834) .. (468.3467,582.9834) -- (612.5417,582.9834) .. controls
  (612.5417,582.9834) and (521.4717,431.1971) .. (513.8792,423.6084) .. controls
  (499.8854,408.4334) and (483.5229,408.4334) .. (460.7592,400.8396) .. controls
  (506.2917,393.2521) and (546.9317,373.8234) .. (561.6917,332.5396) .. controls
  (574.5917,294.5946) and (573.0792,246.3284) .. (545.4230,213.9596) .. controls
  (521.4717,188.3446) and (498.7042,173.1696) .. (437.9905,173.1696) --
  (210.3155,173.1696) -- cycle(331.7405,256.6509) -- (411.4280,256.6509) ..
  controls (430.3242,256.6509) and (445.5792,275.6209) .. (445.5792,294.5946) ..
  controls (445.5792,313.5646) and (430.4030,332.5396) .. (411.4280,332.5396) --
  (331.7405,332.5396) -- (331.7405,256.6509) -- cycle;
\end{scope}
\end{tikzpicture}
\end{document}

\documentclass[tikz]{standalone}
\definecolor{grayR}{HTML}{8A8990}
\definecolor{grayL}{HTML}{C4C7C9}
\definecolor{blueM}{HTML}{1F63B5}   
\begin{document}  
\begin{tikzpicture}

\shade [right color=grayR,left color=grayL,shading angle=60] 
(-3.55,0.3) .. controls (-3.55,1.75) 
and (-1.9,2.7) .. (0,2.7) .. controls (2.05,2.7)  
and (3.5,1.6) .. (3.5,0.3) .. controls (3.5,-1.2) 
and (1.55,-2) .. (0,-2) .. controls (-2.3,-2) 
and (-3.55,-0.75) .. cycle;

\fill[white] 
(-2.15,0.2) .. controls (-2.15,1.2) 
and (-0.7,1.8) .. (0.5,1.8) .. controls (2.2,1.8) 
and (3.1,1.2) .. (3.1,0.2) .. controls (3.1,-0.75) 
and (2.4,-1.45) .. (0.5,-1.45) .. controls (-1.1,-1.45) 
and (-2.15,-0.7) .. cycle;

\fill[blueM] 
(1.75,1.25) -- (-0.65,1.25) -- (-0.65,-2.75) -- (0.55,-2.75) -- (0.55,-1.15) -- 
(0.95,-1.15)  .. controls (1.15,-1.15) 
and (1.5,-1.9) .. (1.9,-2.75) -- (3.25,-2.75)  .. controls (2.2,-1) 
and (2.5,-1.2) .. (1.8,-0.95) .. controls (2.6,-0.9) 
and (2.85,-0.35) .. (2.85,0.2) .. controls (2.85,0.7) 
and (2.5,1.2) .. cycle;

\fill[white]  (1.4,0.4) -- (0.55,0.4) -- (0.55,-0.3) -- (1.4,-0.3).. controls (1.75,-0.3) 
and (1.75,0.4) .. cycle;

\end{tikzpicture}
\end{document}

I could not reinstall svg2tikz plugin on the new version of inkscape, but in command line on ubuntu, one can run:

wget https://upload.wikimedia.org/wikipedia/commons/1/1b/R_logo.svg
pip install git+git://github.com/aloisklink/svg2tikz --user
svg2tikz --figonly R_logo.svg 

First line downloads the svg for the R logo, second installs the svg2tikz python library, third line exports the svg file to tikz. Note I install a fork of the original svg2tikz

You get:

\begin{tikzpicture}[y=0.80pt, x=0.80pt, yscale=-1.000000, xscale=1.000000, inner sep=0pt, outer sep=0pt]
\path[even odd rule] (361.4530,485.9370) .. controls (162.3290,485.9370) and
  (0.9060,377.8280) .. (0.9060,244.4690) .. controls (0.9060,111.1090) and
  (162.3290,3.0000) .. (361.4530,3.0000) .. controls (560.5780,3.0000) and
  (722.0000,111.1090) .. (722.0000,244.4690) .. controls (722.0000,377.8280) and
  (560.5780,485.9370) .. (361.4530,485.9370) -- cycle(416.6410,97.4060) ..
  controls (265.2890,97.4060) and (142.5940,171.3140) .. (142.5940,262.4840) ..
  controls (142.5940,353.6540) and (265.2890,427.5620) .. (416.6410,427.5620) ..
  controls (567.9920,427.5620) and (679.6870,377.0330) .. (679.6870,262.4840) ..
  controls (679.6870,147.9710) and (567.9920,97.4060) .. (416.6410,97.4060) --
  cycle;
\path[even odd rule] (550.0000,377.0000) .. controls (550.0000,377.0000) and
  (571.8220,383.5850) .. (584.5000,390.0000) .. controls (588.8990,392.2260) and
  (596.5100,396.6680) .. (602.0000,402.5000) .. controls (607.3780,408.2120) and
  (610.0000,414.0000) .. (610.0000,414.0000) -- (696.0000,559.0000) --
  (557.0000,559.0620) -- (492.0000,437.0000) .. controls (492.0000,437.0000) and
  (478.6900,414.1310) .. (470.5000,407.5000) .. controls (463.6680,401.9690) and
  (460.7550,400.0000) .. (454.0000,400.0000) .. controls (449.2980,400.0000) and
  (420.9740,400.0000) .. (420.9740,400.0000) -- (421.0000,558.9740) --
  (298.0000,559.0260) -- (298.0000,152.9380) -- (545.0000,152.9380) .. controls
  (545.0000,152.9380) and (657.5000,154.9670) .. (657.5000,262.0000) .. controls
  (657.5000,369.0330) and (550.0000,377.0000) .. (550.0000,377.0000) --
  cycle(496.5000,241.0240) -- (422.0370,240.9760) -- (422.0000,310.0260) --
  (496.5000,310.0020) .. controls (496.5000,310.0020) and (531.0000,309.8950) ..
  (531.0000,274.8770) .. controls (531.0000,239.1550) and (496.5000,241.0240) ..
  (496.5000,241.0240) -- cycle;

\end{tikzpicture}

which is not super nice but can be used as a starting point.