The data showed is a list. We can use unlist and create a data.frame.  Based on the image showed in OP's post, each list element have a length of 1.  By doing unlist, we convert the list to vector and then wrap with data.frame.
data.frame(ind= seq_along(lst), Col1= as.numeric(unlist(lst)))
Or another option would be stack after naming the list elements
df1 <- transform(stack(setNames(lst, seq_along(lst))),
                 values = as.numeric(values))
It gives a two column dataset.  From this we can do the plotting 
Regarding the OP's approach about calling as.data.frame directly on the list, it does work in a different way as it calls on as.data.frame.list.  For example, if we do as.data.frame on a vector, it uses as.data.frame.vector
as.data.frame(1:5)
# 1:5
#1   1
#2   2
#3   3
#4   4
#5   5
But, if we call as.data.frame.list
as.data.frame.list(1:5)
#  X1L X2L X3L X4L X5L
#1   1   2   3   4   5
we get a data.frame with 'n' columns (based on the length of the vector).
Suppose, we do the same on a list
as.data.frame(as.list(1:5))
#  X1L X2L X3L X4L X5L
#1   1   2   3   4   5
It uses the as.data.frame.list.  To get the complete list of methods of as.data.frame,
methods('as.data.frame')
#[1] as.data.frame.aovproj*        as.data.frame.array          
# [3] as.data.frame.AsIs            as.data.frame.character      
# [5] as.data.frame.chron*          as.data.frame.complex        
# [7] as.data.frame.data.frame      as.data.frame.data.table*    
# [9] as.data.frame.Date            as.data.frame.dates*         
#[11] as.data.frame.default         as.data.frame.difftime       
#[13] as.data.frame.factor          as.data.frame.ftable*        
#[15] as.data.frame.function*       as.data.frame.grouped_df*    
#[17] as.data.frame.idf*            as.data.frame.integer        
#[19] as.data.frame.ITime*          as.data.frame.list      <-------     
#[21] as.data.frame.logical         as.data.frame.logLik*        
#[23] as.data.frame.matrix          as.data.frame.model.matrix   
#[25] as.data.frame.noquote         as.data.frame.numeric        
#[27] as.data.frame.numeric_version as.data.frame.ordered        
#[29] as.data.frame.POSIXct         as.data.frame.POSIXlt        
#[31] as.data.frame.raw             as.data.frame.rowwise_df*    
#[33] as.data.frame.table           as.data.frame.tbl_cube*      
#[35] as.data.frame.tbl_df*         as.data.frame.tbl_dt*        
#[37] as.data.frame.tbl_sql*        as.data.frame.times*         
#[39] as.data.frame.ts              as.data.frame.vector